Question

use the diagram at the right. find the measure of \\( \angle a o c \\).
the measure of \\( \angle a o c \\) is \\( \square \\) (simplify your answer.)

Explanation:

Step1: Identify the angles that make up ∠AOC

From the diagram, ∠AOC is composed of ∠AOB and ∠BOC.

Step2: Add the measures of ∠AOB and ∠BOC

Given that ∠AOB = 32° and ∠BOC = 35°.
So, \(m\angle AOC=m\angle AOB + m\angle BOC\)
\(m\angle AOC=32^{\circ}+ 35^{\circ}\)
\(m\angle AOC = 67^{\circ}\)

Answer:

\(67\)