Mathematics

In the given figure, $$\angle$$POR and $$\angle$$QOR form a linear pair and $$a-b=40^o$$. Then the values of a, b respectively are __________.


ANSWER

$$110^o, 70^o$$


SOLUTION
$$\angle POR$$ $$ = b$$ and $$\angle QOR$$ $$ = a$$
$$\because  $$ line PQ is a straight line 
$$\Rightarrow $$ $$\angle POQ$$ $$=$$ $$180^{\circ}$$
$$\Rightarrow $$ $$a+b$$ $$=180^{\circ}$$ $$....(1)$$
$$\because  $$  $$a-b$$ $$=40^{\circ}$$    $$....(2)$$
From equation (1) and (2)
$$a$$ $$=110^{\circ}$$ and $$b$$ $$=70^{\circ}$$
Hence the correct option is $$(A)$$  $$110^{\circ}$$$$,70^{\circ}$$
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Single Correct Medium Published on 09th 09, 2020
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