Question

In the given figure, the measure of $\angle BOE$ is:

• A. 60°
• B. 70°
• C. 80°
• D. 90°

Answer 1

The correct option is C 80°

Given $\angle BOD\&\angle AOC$ are vertical angles
$\Rightarrow \angle BOD=\angle AOC$
$\Rightarrow \angle BOE+\angle EOD=\angle AOC={105}^{\circ }$
$\Rightarrow \angle BOE={105}^{\circ }-{25}^{\circ }={80}^{\circ }$