Question

Given that arc GF has a measure of 108°, what is the measure of ∠ E?

Answer 1

Angle E would also be 108°.

Answer 2

The measure of ∠ E is 108°.

Explanation:

It is given that arc GF has a measure of 108°.

A part of the circumference is arc length. The arc length is defined as

`l=r\theta`

where, r is radius and θ is central angle.

In the unit the arc length is equal to the the central angle.

`Arc(GF)=108^(\circ)`

`\angle GEF=108^(\circ)`

Therefore the measure of ∠ E is 108°.