| The measures of two angles of a triangle is in the ratio 4: 5. If the sum of these two measures is equal to the measure of the third angle. Find the smallest angle. [SSC (CGL) 2015] |
A) \[90{}^\circ \]
B) \[50{}^\circ \]
C) \[10{}^\circ \]
D) \[40{}^\circ \]
Correct Answer: D
Solution :
| Let the two angles of a triangles be \[4x\]and \[5x,\] respectively. |
| Given, third angle = Sum of these two angles. |
| Third angle \[=4x+5x=9x\] |
| Sum of the measure of all the angles of a triangle is \[180{}^\circ .\] |
| \[\therefore \]\[4x+5x+9x=180{}^\circ \]\[\Rightarrow \]\[18x=180{}^\circ \]\[\Rightarrow \]\[x=10{}^\circ \] |
| \[\therefore \]Smallest angle \[=4x=4\times 10=40{}^\circ \] |
You need to login to perform this action.
You will be redirected in
3 sec
