Question

What is the measure of EFG?

Answer 1

The answer isssss 149

Answer 2

Answer:
`149^(\circ)`

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)`