Question

Determine the measure of angle DGF.
A) 22º
B) 29.5º
C) 70º
D) 81

Answer 1

C. 70

Hope this helps

Answer 2

The measure of the angle formed by 2 chords  that intersect inside the circle is 1/2 the sum of the chords' intercepted arcs. 

m∠DGF = (59+81)/2 = 70°