Question

6. Arc AB measures 80' which is an intercepted arc of a central angle AOB, what is the measure of angle AOB? A. 40° B. 80° C. 160° D. 260°

Answer 1

Given:

Arc AB measures 80' which is an intercepted arc of a central angle AOB

Required:

To find the measure angle of AOB.

Step-by-step explanation:

An arc of a circle is a section of the circumference of the circle between two radii.

A central angle of a circle is an angle between two radii with the vertex at the center.

The central angle of an arc is the central angle subtended by the arc.

The measure of an arc is the measure of its central angle.

Arc measure refers to central angel measure.

Therefore,

`\angle AOB=80\degree`

Final Answer:?

`\angle AOB=80\degree`