Q8. - Geometry

Question

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

 $\angle GQF$

Step-by-Step Solution

Answer

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

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 $60°.$