Question

Determine the measure of ∠DGF.
A) 22°
B) 29.5°
C) 70°
D) 81°

Answer 1

An angle formed by 2 chords ( angle DGF) = 1/2(the sum of the two outside angles).

DGF = 1/2 ( 81 + 59)

DGF = 1/2(140)

DGF = 70 degrees.

The answer is C.

Answer 2

In this exercise we have to use the knowledge of circumference to calculate the angle that needs to be represented in the image given in the statement, in this way we find that:

Letter C

So by the image of the reported circumference, we can say that:

$DGF = 1/2\\ DGF = 1/2 ( 81 + 59)\\ DGF = 1/2(140)\\ DGF = 70 \ degrees$

See more about circumference at brainly.com/question/4268218