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Question

In the given figure, two straight line AB and CD intersect at a point O.
If ∠AOC = 42°, find the measure of each of the angles:


(i) ∠AOD
(ii) ∠BOD
(iii) ∠COB

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Solution


AB and CD intersect at O and CD is a straight line.

(i) COA+ AOD = 180° (linear pair)42°+ AOD = 180°AOD = 138°(ii) COA and BOD are vertically opposite angles. COA = BOD = 42° [from (i)](iii) COB and AOD are vertically opposite angles.COB = AOD = 138° [from (i)]

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