Question

Review: Angle Bisectors

A
Directions: Label the diagram with the
proper congruence markings and known
measurements.

Answer 1

• m∠AOC = 15°

• m∠BOC = 15°

Explanation:

Given the angle ∠AOB

It is stated that CO is the angle bisector of ∠AOB.

Given that ∠AOB = 30°

As we know that the angle bisector bisects the angle into two equal angles.

Thus, the angle bisector CO bisects the angle ∠AOB into two equal angles, which are:

• m∠AOC

• m∠BOC

as

∠AOB = 30°

Thus, the two formed angles i.e m∠AOC and m∠BOC by the angle bisector would be half of the angle bisector as the angle bisector bisects the angle ∠AOB into two equal angles.

Therefore,

• m∠AOC = 15°

• m∠BOC = 15°