Question

What is the measure of EFG?

Answer 1

The answer isssss 149

Answer 2

Answer: $149^{\circ}$

Step-by-step explanation:

From the given figure, the measure of central angle FDG is given by :-

$\angle{EDG}=\angle{EDF}+\angle{FDG}\\\\=83^{\circ}+66^{\circ}\\\\=149^{\circ}$

We know that the measure of arc in degrees is equals the measure of the central angle that intercepts the arc.

Now,the measure of arc EFG is given by :-

$Arc\ \text{EFG}=\text{Central angle EDG}=149^{\circ}$