Identify which of the following pairs of angles are complementary and which are supplementary. (i) \[\text{6}{{\text{5}}^{o}},\text{11}{{\text{5}}^{o}}\] (ii) \[\text{6}{{\text{3}}^{o}},\text{ 2}{{\text{7}}^{o}}\] (iii) \[{{112}^{o}},{{68}^{o}}\] (iv) \[\text{13}{{0}^{o}},\text{5}{{0}^{o}}\] (v) \[\text{4}{{\text{5}}^{o}}\text{, 4}{{\text{5}}^{o}}\] (vi) \[\text{8}{{0}^{o}},\text{ 1}{{0}^{o}}\].
In the given figure, \[\angle 1\] and \[\angle 2\] are supplementary angles. If \[\angle 1\] is decreased, what changes should take place in\[\angle 2\] so that both the angles still remain supplementary.
An angle is greater than \[\text{4}{{\text{5}}^{o}}\]. Is its complementary angle greater than \[\text{4}{{\text{5}}^{o}}\] or equal to \[\text{4}{{\text{5}}^{o}}\] or less than\[\text{4}{{\text{5}}^{o}}\].
In the adjoining figure: (i) Is \[\angle 1\] adjacent to \[\angle 2\] ? (ii) Is \[\angle AOC\] adjacent to \[\angle AOE\]? (iii) Do \[\angle COE\] and \[\angle EOD\]form a linear pair? (iv) Are \[\angle BOD\] and \[\angle DOA\]supplementary? (v) Is \[\angle 1\] vertically opposite to \[\angle 4\]? (vi) What is the vertically opposite angle of \[\angle 5\]?
Fill in the blanks: (i) If two angles are complementary, then the sum of their measures is ....... (ii) If two angles are supplementary, then the sum of their measures is ....... (iii) Two angles forming a linear pair are ....... (iv) If two adjacent angles are supplementary, they form a ....... (v) If two lines intersect at a point, then the vertically opposite angles are always ...... . (vi) If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are ...... .
In the adjoining figure, name the following pairs of angles. (i) Obtuse vertically opposite angles (ii) Adjacent complementary angles (iii) Equal supplementary angles (iv) Unequal supplementary angles (v) Adjacent angles that do not form a linear pair.
State the property that is used in each of the following statements (i) if \[a||b,\]then \[\angle 1=\angle 5.\] (ii) if \[\angle 4=\angle 6,\]then \[a||b.\] (iii) if \[\angle 4+\angle 5={{180}^{o}},\]then \[a||b\].
In the adjoining figure, identify: (i) the pairs of corresponding angles. (ii) the pairs of alternate interior angles. (iii) the pairs of interior angles on the same side of the transversal. (iv) the vertically opposite angles.