Q9. - Geometry

Question

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

       $\angle EQF$

Step-by-Step Solution

Answer

The measure of angle $\angle EQF$ is $50°.$

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

       $m\stackrel{⏜}{EF}=50°$

       Since 

    $\begin{array}{l}m\angle EQF=m\stackrel{⏜}{EQF}\\ {\text{ =50}}^{\circ }\end{array}$     

Therefore, the measure of the angle $\angle EQF$ is $50°.$