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question_answer1)
The measure of an angle is four times the measure of its supplement. Identify the angles.
A)
\[{{36}^{o}},\,\,{{144}^{o}}\] done
clear
B)
\[{{40}^{o}},\,\,{{160}^{o}}\] done
clear
C)
\[{{18}^{o}},\,\,{{72}^{o}}\] done
clear
D)
\[{{50}^{o}},\,\,{{200}^{o}}\] done
clear
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question_answer2)
If two supplementary angles are in the ratio\[4:5\], find the angles.
A)
\[{{80}^{o}},\,\,{{100}^{o}}\] done
clear
B)
\[{{85}^{o}},\,\,{{95}^{o}}\] done
clear
C)
\[{{40}^{o}},\,\,{{50}^{o}}\] done
clear
D)
\[{{60}^{o}},\,\,{{120}^{o}}\] done
clear
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question_answer3)
From the given figure, find the value of \[{{y}^{o}}\] when\[{{x}^{o}}={{30}^{o}}\].
A)
\[{{25}^{o}}\] done
clear
B)
\[{{24}^{o}}\] done
clear
C)
\[{{36}^{o}}\] done
clear
D)
\[{{45}^{o}}\] done
clear
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question_answer4)
From the figure given, if\[\angle POR\]and\[\angle QOR\]from a linear pair and\[a-b={{40}^{o}}\], what are the respective values of\[a\]and\[b\]?
A)
\[{{110}^{o}},\,\,{{70}^{o}}\] done
clear
B)
\[{{70}^{o}},\,\,{{100}^{o}}\] done
clear
C)
\[{{80}^{o}},\,\,{{120}^{o}}\] done
clear
D)
\[{{120}^{o}},\,\,{{80}^{o}}\] done
clear
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question_answer5)
From the figure given, find the value of\[x\], if\[BC||ED\]
A)
\[{{85}^{o}}\] done
clear
B)
\[{{90}^{o}}\] done
clear
C)
\[{{95}^{o}}\] done
clear
D)
\[{{80}^{o}}\] done
clear
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question_answer6)
In\[\Delta ABC\]\[,\]\[\angle A=\frac{\angle B}{2}=\frac{\angle C}{6}\]. Find the measure of measure of\[\angle A\].
A)
\[{{60}^{o}}\] done
clear
B)
\[{{30}^{o}}\] done
clear
C)
\[{{40}^{o}}\] done
clear
D)
\[{{20}^{o}}\] done
clear
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question_answer7)
The sides \[BC,\,\,CA\] and \[AB\] of \[\Delta ABC\] are produced in order to form exterior angles\[\angle ACD,\,\,\angle BAE\]and\[\angle CBF\].
Find\[\angle ACD+\angle BAE+\angle CBF\].
A)
\[{{180}^{o}}\] done
clear
B)
\[{{270}^{o}}\] done
clear
C)
\[{{360}^{o}}\] done
clear
D)
\[{{540}^{o}}\] done
clear
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question_answer8)
In the given figure, \[BO\] and \[CO\] are angle bisectors of external angles of\[\Delta ABC\]. Find\[\angle BOC\].
A)
\[{{90}^{o}}-\frac{1}{2}\angle A\] done
clear
B)
\[{{90}^{o}}+\frac{1}{2}\angle A\] done
clear
C)
\[{{180}^{o}}-\frac{1}{2}\angle A\] done
clear
D)
\[{{180}^{o}}+\frac{1}{2}\angle A\] done
clear
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question_answer9)
In the figure, the bisectors of \[B\] and \[C\] meet at\[O\]. Find the measure of\[\angle BOC\].
A)
\[{{90}^{o}}+\frac{1}{2}\angle A\] done
clear
B)
\[{{90}^{o}}+\frac{1}{2}\angle B\] done
clear
C)
\[{{90}^{o}}+\frac{1}{2}\angle C\] done
clear
D)
\[{{90}^{o}}+\angle A\] done
clear
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question_answer10)
From the given figure, find the value of\[x\].
A)
\[{{60}^{o}}\] done
clear
B)
\[{{75}^{o}}\] done
clear
C)
\[{{90}^{o}}\] done
clear
D)
\[{{120}^{o}}\] done
clear
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question_answer11)
From the figure, find\[x\]if\[AB||CD\].
A)
\[{{45}^{o}}\] done
clear
B)
\[{{55}^{o}}\] done
clear
C)
\[{{60}^{o}}\] done
clear
D)
\[{{70}^{o}}\] done
clear
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question_answer12)
In the given figure, what is the value of\[\angle A+\angle B+\angle C+\angle D+\angle E+\angle F\]?
A)
\[{{360}^{o}}\] done
clear
B)
\[{{270}^{o}}\] done
clear
C)
\[{{540}^{o}}\] done
clear
D)
\[{{180}^{o}}\] done
clear
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question_answer13)
In\[\Delta PQR\], the angle bisectors of \[\angle PQR\] and \[\angle PRQ\] meet at\[O\].
Ifs\[\angle QPR={{80}^{o}}\], find the measure of\[\angle QOR\].
A)
\[{{80}^{o}}\] done
clear
B)
\[{{130}^{o}}\] done
clear
C)
\[{{100}^{o}}\] done
clear
D)
\[{{90}^{o}}\] done
clear
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question_answer14)
If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio\[2:3\], what is the smaller of the two angles?
A)
\[{{72}^{o}}\] done
clear
B)
\[{{108}^{o}}\] done
clear
C)
\[{{54}^{o}}\] done
clear
D)
\[{{36}^{o}}\] done
clear
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question_answer15)
In the given figure\[PQ||SR,\,\,\angle SQR={{25}^{o}}\],\[\angle QRT={{65}^{o}}\]find\[y\].
A)
\[{{40}^{o}}\] done
clear
B)
\[{{150}^{o}}\] done
clear
C)
\[{{50}^{o}}\] done
clear
D)
\[{{80}^{o}}\] done
clear
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question_answer16)
In the figure, \[AB=AC,\,\,CH=CB\] and\[HK||BC\]. If the exterior angle \[CAX\] is\[{{140}^{o}}\], find the measure of the angle\[HCK\].
A)
\[{{45}^{o}}\] done
clear
B)
\[{{55}^{o}}\] done
clear
C)
\[{{50}^{o}}\] done
clear
D)
done
clear
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question_answer17)
In the adjoining figure, \[AM\bot BC\] and\[AN\] is the bisector of\[\angle BAC\].
If \[\angle B={{70}^{o}}\] and\[\angle C={{35}^{o}}\], find\[\angle MAN\].
A)
\[{{17.5}^{o}}\] done
clear
B)
\[{{27.5}^{o}}\] done
clear
C)
\[{{37.5}^{o}}\] done
clear
D)
\[{{47.5}^{o}}\] done
clear
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question_answer18)
In the figure given, what is the value of \[x\] if\[AB||CD\]?
A)
\[{{80}^{o}}\] done
clear
B)
\[{{88}^{o}}\] done
clear
C)
\[{{90}^{o}}\] done
clear
D)
\[{{98}^{o}}\] done
clear
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question_answer19)
From the given figure, if\[AB||DE\], what is the value of\[{{x}^{o}}\]?
A)
\[{{25}^{o}}\] done
clear
B)
\[{{35}^{o}}\] done
clear
C)
\[{{45}^{o}}\] done
clear
D)
\[{{55}^{o}}\] done
clear
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question_answer20)
\[\angle ABC\]and\[\angle BDC\] are right angles. If\[AD=9\,\,cm\], \[DC=16\,\,cm\] and\[AB=15\,\,cm\], find length of\[BD\].
A)
\[12\,\,cm\] done
clear
B)
\[16\,\,cm\] done
clear
C)
\[15\,\,cm\] done
clear
D)
\[25\,\,cm\] done
clear
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question_answer21)
In the given figure, if\[PQ||RS,\,\,\angle PAB={{70}^{o}}\]and\[\angle ACS={{110}^{o}}\], find the measure of\[\angle BAC\].
A)
\[{{40}^{o}}\] done
clear
B)
\[{{70}^{o}}\] done
clear
C)
\[{{110}^{o}}\] done
clear
D)
\[{{30}^{o}}\] done
clear
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question_answer22)
In a right angled triangle, the square of the hypotenuse is equal to twice the product of the other two sides. Which of the following is one of the acute angles of the triangle?
A)
\[{{60}^{o}}\] done
clear
B)
\[{{45}^{o}}\] done
clear
C)
\[{{30}^{o}}\] done
clear
D)
\[{{75}^{o}}\] done
clear
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question_answer23)
In the given figure, \[AB||CD\]and\[\angle 1:\angle 2=3:2\]. Find\[\angle 6\].
A)
\[{{72}^{o}}\] done
clear
B)
\[{{36}^{o}}\] done
clear
C)
\[{{108}^{o}}\] done
clear
D)
\[{{144}^{o}}\] done
clear
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question_answer24)
If \[D\]is the midpoint of the hypotenuse \[AC\] of a right triangle\[ABC\], find the length of\[BD\].
A)
\[\frac{1}{2}AC\] done
clear
B)
\[AC\] done
clear
C)
\[\frac{3}{2}AC\] done
clear
D)
\[2AC\] done
clear
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question_answer25)
In the given figure, \[AB||CD\] and\[CD||EF\]. Also\[EA\bot AB\]. If\[\angle BEF={{55}^{o}}\], find the value of\[x-z\]
A)
\[{{0}^{o}}\] done
clear
B)
\[{{50}^{o}}\] done
clear
C)
\[{{80}^{o}}\] done
clear
D)
\[{{90}^{o}}\] done
clear
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question_answer26)
In\[\Delta ABC\], if \[\angle A={{45}^{o}}\] and\[\angle B={{70}^{o}}\], find the shortest and the largest sides of the triangle respectively.
A)
\[AB,\,\,BC\] done
clear
B)
\[BC,\,\,AC\] done
clear
C)
\[AB,\,\,AC\] done
clear
D)
Either (a) or (c) done
clear
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question_answer27)
In the given figure which of the following statements must be true?
A)
(i) only done
clear
B)
(ii) only done
clear
C)
(iii) only done
clear
D)
(ii) and (iii) only done
clear
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question_answer28)
In a\[\Delta ABC\], if \[2\angle A=3\angle B=6\angle C\]\[,\] find the measures of\[\angle A,\,\,\angle B\]and\[\angle C\].
A)
\[{{30}^{o}},\,\,{{60}^{o}},\,\,{{90}^{o}}\] done
clear
B)
\[{{90}^{o}},\,\,{{60}^{o}},\,\,{{30}^{o}}\] done
clear
C)
\[{{30}^{o}},\,\,{{90}^{o}},\,\,{{60}^{o}}\] done
clear
D)
\[{{45}^{o}},\,\,{{90}^{o}},\,\,{{45}^{o}}\] done
clear
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question_answer29)
\[A,\,\,B\] and \[C\] are the three angles of a triangle. If \[A-B={{15}^{o}}\] and\[B-C={{30}^{o}}\], find \[\angle A,\,\,\angle B\] and\[\angle C\].
A)
\[{{80}^{o}},\,\,{{65}^{o}},\,\,{{35}^{o}}\] done
clear
B)
\[{{65}^{o}},\,\,{{80}^{o}},\,\,{{35}^{o}}\] done
clear
C)
\[{{35}^{o}},\,\,{{80}^{o}},\,\,{{65}^{o}}\] done
clear
D)
\[{{80}^{o}},\,\,{{35}^{o}},\,\,{{65}^{o}}\] done
clear
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question_answer30)
Consider the following statements.
Which of the given statements is correct?
A)
(i) and (iii) only done
clear
B)
(ii) and (iii) only done
clear
C)
(i) and (iv) only done
clear
D)
(ii) and (iv) only done
clear
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question_answer31)
Two straight lines \[AB\] and \[CD\] intersect one another at point\[O\]. If\[\angle AOC+\] \[\angle COB+\]\[\angle BOD={{274}^{o}}\], find\[\angle AOD\].
A)
\[{{86}^{o}}\] done
clear
B)
\[{{90}^{o}}\] done
clear
C)
\[{{94}^{o}}\] done
clear
D)
\[{{137}^{o}}\] done
clear
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question_answer32)
In the given figure, identify the pair of parallel lines.
A)
\[AB||EF\] done
clear
B)
\[BC||CF\] done
clear
C)
\[EF||BC\] done
clear
D)
\[EF||CE\] done
clear
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question_answer33)
In the given figure, \[AB||CD||EF\] and\[GH||KL\]. Find the measure of\[\angle HKL\].
A)
\[{{85}^{o}}\] done
clear
B)
\[{{135}^{o}}\] done
clear
C)
\[{{145}^{o}}\] done
clear
D)
\[{{215}^{o}}\] done
clear
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question_answer34)
In the given figure, find the value of\[x\].
A)
\[{{12}^{o}}\] done
clear
B)
\[{{15}^{o}}\] done
clear
C)
\[{{20}^{o}}\] done
clear
D)
\[{{30}^{o}}\] done
clear
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question_answer35)
In the given figure, if\[{{l}_{1}}||{{l}_{2}}\], what is the value of\[x\]?
A)
\[{{37}^{o}}\] done
clear
B)
\[{{57}^{o}}\] done
clear
C)
\[{{95}^{o}}\] done
clear
D)
\[{{85}^{o}}\] done
clear
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question_answer36)
In the given figure, if\[AB||PQ,\,\,PR||BC\], and\[\angle QPR={{102}^{o}}\], determine\[\angle ABC\].
A)
\[{{102}^{o}}\] done
clear
B)
\[{{180}^{o}}\] done
clear
C)
\[{{78}^{o}}\] done
clear
D)
\[{{120}^{o}}\] done
clear
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question_answer37)
In the given figure\[PQ||RS,\,\,\angle AEF={{95}^{o}}\],\[\angle BHS={{110}^{o}}\] and\[\angle ABC={{x}^{o}}\]. Find the value of\[x\].
A)
\[{{15}^{o}}\] done
clear
B)
\[{{25}^{o}}\] done
clear
C)
\[{{70}^{o}}\] done
clear
D)
\[{{35}^{o}}\] done
clear
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question_answer38)
In the given figure, which two lines are parallel?
A)
\[l,\,\,m\] done
clear
B)
\[l,\,\,n\] done
clear
C)
\[m,\,\,n\] done
clear
D)
\[n,\,\,p\] done
clear
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question_answer39)
In the given figure,\[AB||CD\]and\[EF||DQ\]. Determine\[\angle PQR\].
A)
\[{{78}^{o}}\] done
clear
B)
\[{{68}^{o}}\] done
clear
C)
\[{{34}^{o}}\] done
clear
D)
\[{{54}^{o}}\] done
clear
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question_answer40)
In the given figure if \[{{l}_{1}}||{{l}_{2}}\] what is \[x+y\] in terms of \[{{w}^{o}}\] and\[{{z}^{o}}\]?
A)
\[{{180}^{o}}-{{w}^{o}}+{{z}^{o}}\] done
clear
B)
\[{{180}^{o}}+{{w}^{o}}-{{z}^{o}}\] done
clear
C)
\[{{180}^{o}}-{{w}^{o}}-{{z}^{o}}\] done
clear
D)
\[{{180}^{o}}+{{w}^{o}}+{{z}^{o}}\] done
clear
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question_answer41)
In the given figure\[,\]\[OP||RS\]. Determine\[\angle PQR\]
A)
\[{{75}^{o}}\] done
clear
B)
\[{{50}^{o}}\] done
clear
C)
\[{{40}^{o}}\] done
clear
D)
\[{{60}^{o}}\] done
clear
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question_answer42)
In the given figure, if \[{{l}_{1}}||{{l}_{2}}\] and\[{{l}_{3}}||{{l}_{4}}\], what is \[y\] in terms of\[x\]?
A)
\[{{90}^{o}}+x\] done
clear
B)
\[{{90}^{o}}+2x\] done
clear
C)
\[{{90}^{o}}-\frac{x}{2}\] done
clear
D)
\[{{90}^{o}}-2x\] done
clear
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question_answer43)
In the given figure,\[PQ||RS\]\[,\]\[\angle QPR={{70}^{o}}\]\[\angle ROT={{20}^{o}}\], find the value of\[x\]
A)
\[{{20}^{o}}\] done
clear
B)
\[{{70}^{o}}\] done
clear
C)
\[{{110}^{o}}\] done
clear
D)
\[{{50}^{o}}\] done
clear
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question_answer44)
In the given figure, if \[AB||CD\] is parallel to the line segment\[CD\], what is the value of\[y\]?
A)
\[12\] done
clear
B)
\[15\] done
clear
C)
\[18\] done
clear
D)
\[20\] done
clear
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question_answer45)
In the given figure,\[AB||CD\]and\[\angle F={{30}^{o}}\]. Find\[\angle ECD\]
A)
\[{{55}^{o}}\] done
clear
B)
\[{{70}^{o}}\] done
clear
C)
\[{{45}^{o}}\] done
clear
D)
\[{{60}^{o}}\] done
clear
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question_answer46)
In the given figure, if\[AC||ED\], find the degree measure of\[x\].
A)
\[{{55}^{o}}\] done
clear
B)
\[{{70}^{o}}\] done
clear
C)
\[{{45}^{o}}\] done
clear
D)
\[{{60}^{o}}\] done
clear
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question_answer47)
An exterior angle of a triangle is\[{{115}^{o}}\]. If one of the interior opposite angles is\[{{35}^{o}}\], what are the other two angles?
A)
\[{{80}^{o}},\,\,{{65}^{o}}\] done
clear
B)
\[{{75}^{o}},\,\,{{65}^{o}}\] done
clear
C)
\[{{90}^{o}},\,\,{{55}^{o}}\] done
clear
D)
\[{{45}^{o}},\,\,{{100}^{o}}\] done
clear
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question_answer48)
In the given figure, if\[PQ||RS\], find the measure of\[m\].
A)
\[{{110}^{o}}\] done
clear
B)
\[{{100}^{o}}\] done
clear
C)
\[{{90}^{o}}\] done
clear
D)
\[{{137}^{o}}\] done
clear
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question_answer49)
If\[OP\]is a ray standing on a line\[QR\]such that\[\angle POQ=\angle POR\], what is the measure of\[\angle POQ\]
A)
\[{{45}^{o}}\] done
clear
B)
\[{{60}^{o}}\] done
clear
C)
\[{{75}^{o}}\] done
clear
D)
\[{{90}^{o}}\] done
clear
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question_answer50)
In the figure given, what is the value of\[\angle p\]?
A)
\[{{30}^{o}}\] done
clear
B)
\[{{40}^{o}}\] done
clear
C)
\[{{50}^{o}}\] done
clear
D)
\[{{60}^{o}}\] done
clear
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question_answer51)
In the given figure, \[PQ||RS\] and\[EF||QS\]. If\[\angle Q={{60}^{o}}\], find the measure of\[\angle REF\].
A)
\[{{115}^{o}}\] done
clear
B)
\[{{120}^{o}}\] done
clear
C)
\[{{60}^{o}}\] done
clear
D)
\[{{180}^{o}}\] done
clear
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question_answer52)
In the given figure\[,\]\[AB||CD\] . What is the value of\['q'\]?
A)
\[{{120}^{o}}\] done
clear
B)
\[{{65}^{o}}\] done
clear
C)
\[{{90}^{o}}\] done
clear
D)
\[{{110}^{o}}\] done
clear
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question_answer53)
The angles of a triangle are\[(x+{{10}^{o}}),\,\,(x+{{40}^{o}})\]and\[(2x-{{30}^{o}})\]. What is the value of\[x\]?
A)
\[{{30}^{o}}\] done
clear
B)
\[{{40}^{o}}\] done
clear
C)
\[{{20}^{o}}\] done
clear
D)
\[{{10}^{o}}\] done
clear
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question_answer54)
In the figure given, what are the values of \[\angle b,\,\,\angle c\] and\[\angle a\]respectively?
A)
\[{{18}^{o}},\,\,{{70}^{o}}\]and\[{{92}^{o}}\] done
clear
B)
\[{{92}^{o}},\,\,{{70}^{o}}\]and\[{{18}^{o}}\] done
clear
C)
\[{{70}^{o}},\,\,{{92}^{o}}\]and\[{{18}^{o}}\] done
clear
D)
\[{{70}^{o}},\,\,{{18}^{o}}\]and\[{{92}^{o}}\] done
clear
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