Question

In figure 1, $\angle POR=3x$ and $\angle QOR=2x+10$. The value of $x$ for which $POQ$ is a straight line, is

• A. ${34}^{\circ }$
• B. ${24}^{\circ }$
• C. $0^{\circ }$
• D. ${10}^{\circ }$

Answer 1

The correct option is A ${34}^{\circ }$

$POQ$ is a straight line

$\therefore \angle POR+\angle QOR={180}^{\circ }\Rightarrow 2x+{10}^{\circ }+3x={180}^{\circ }\Rightarrow 5x={170}^{\circ }\Rightarrow x={34}^{\circ }$