Question

In exercises $8-13$ find the angle or the arc named.

$\angle GQF$

Short answer

a. The measure of angle $\angle GQF$ is $60°.$

Step-by-step solution

Step 1. Given information:

The given figure is,

Step 2. Concept used:

In the circle the arc of the given circle is equals to the angle that is asked.

Step 3. Applying the concept:

Here, in the figure

$m\stackrel{⏜}{GF}={60}^{\circ }$

Since

$\begin{array}{l}m\angle GQF=m\stackrel{⏜}{GQF}\\ {\text{=60}}^{\circ }\end{array}$

Therefore, the measure of the angle $\angle GQF$ is $60°.$