Question

Complete. You may find that drawing a diagram will help you.

If point Blies in the interior of$\angle AOC$, then$m\angle$___?___+$m\angle$___?___=$m\angle$___?___.

Short answer

If point B lies in the interior of $\angle AOC$, then $m\angle AOB+m\angle BOC=m\angle AOC$.

Step-by-step solution

Step 1. State the Angle addition postulate.

The Angle addition postulate states that if two angles are placed side by side, then the value of the resulting angle is equal to the sum of the original angles.

Step 2. Draw the diagram.

Draw the diagram with the point B in the interior of $\angle AOC$.

Step 3. State the conclusion.

Using angle addition postulate and the diagram drawn above it can conclude that,$m\angle AOB+m\angle BOC=m\angle AOC$.

Hence, the statement is $m\angle AOB+m\angle BOC=m\angle AOC$.