Question

he center of the circle below is at P. If arc AB measures 86 °, then what is the measure of the angle < APB ?

Answer 1

D. 86°

Explanation:

Given:

• The center of the circle = P

,

• The measure of arc AB = 86°

We want to find the measure of the angle APB.

By Circle's theorem: The measure of an arc is equal to the measure of the central angle subtended by the same arc.

Applying this theorem, we have that:

`\begin{gathered} m\angle APB=m\widehat{AB} \\ \implies m\angle APB=86\degree \end{gathered}`

The measure of the angle APB is 86 degrees.

Option D is correct.