If the measure of Angle F G H is 64 degrees and the measure of Angle E G D is (4 x + 8) degrees, what is the value of x? Lines E H and D F intersect at point G. 14 18 64 116

14°

Step-by-step explanation:

Both angles are vertical angles and are opposite, hence, from angle theorem., vertically opposite angles are equal :

Angle EGD = Angle FGH

Angle EGD = (4x + 8)

Angle FGH = 64

HENCE,

4x + 8 = 64

4x = 64 - 8

4x = 56

x = 56/4

x = 14°