Question

In the given figure, POQ is a line. The value of x is ___________.

Answer 1

It is given that, POQ is a straight line.

∴ ∠POR + ∠ROQ = 180º (Linear pair)

⇒ 40º + (4x + 3x) = 180º (∠ROQ = ∠ROS + ∠SOQ)

⇒ 7x = 180º − 40º = 140º

⇒ x = $\frac{140°}{7}$ = 20º

Thus, the value of x is 20º.

In the given figure, POQ is a line. The value of x is ___20º___.