Question

Question 31

In the given figure, POQ is a line, then a is equal to

(a) ${35}^{\circ }$
(b) ${100}^{\circ }$
(c) ${80}^{\circ }$
(d) ${135}^{\circ }$

Answer 1

Since POQ is a line,
Here,$\angle PORand\angle QOR$ form a linear pair.
$\therefore \angle POR+\angle QOR={180}^{\circ }\Rightarrow {100}^{\circ }+a={180}^{\circ }\Rightarrow a={180}^{\circ }-{100}^{\circ }={80}^{\circ }$