Question

In the given figure XY || PQ, find the value of x:

• A. ${70}^{\circ }$
• B. ${45}^{\circ }$
• C. ${75}^{\circ }$
• D. ${15}^{\circ }$

Answer 1

The correct option is C ${75}^{\circ }$

$\angle BAO={180}^{\circ }-({60}^{\circ }+{35}^{\circ })={85}^{\circ }$
$\angle AOB={180}^{\circ }-({85}^{\circ }+{20}^{\circ })={75}^{\circ }$