Question

In the adjoining figure, $\angle$ $APO$ $={42}^o$ and $\angle$ $CQO$ $={38}^o$. Find the value of $\angle$ $POQ$.

• A. ${68}^o$
• B. ${72}^o$
• C. ${80}^o$
• D. ${126}^o$

Answer 1

The correct option is C ${80}^o$

From the figure, we have

$\angle 1=\angle 2\angle 3=\angle 4$

To find the value of $\angle POQ$, we have

$\angle POQ=\angle 2+\angle 3$

$=\angle 1+\angle 4$

$=\angle APO+\angle CQO$

$=42+38$ ..... given

$={80}^{\circ }$