Answer:
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:
[tex]\begin{gathered} m\angle APB=m\widehat{AB} \\ \implies m\angle APB=86\degree \end{gathered}[/tex]
The measure of the angle APB is 86 degrees.
Option D is correct.
