Q24 - Geometry

Question

What ray bisects which two angles?

Step-by-Step Solution

Answer

The ray $\overline{OC}$ bisects $\angle AOH$ into two equal angles such as $\angle AOC$ and $\angle COH$.

Step 1. Apply definition of bisector of an angle

The bisector of an angle is the ray that divides the angle into congruent adjacent angles.

Step 2. Observe the figure below and identify the angles form due to bisector

From the figure, it can be observed that ray $\overline{OC}$ divides $\angle AOH$ into two angles with same measure, that is, $\angle AOC$ and $\angle COH$

Step 3. Write which ray bisects what angles

The ray $\overline{OC}$ bisects $\angle AOH$ into two equal angles such as $\angle AOC$ and $\angle COH$.