Question

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

Answer 1

x = 14

Explanation:

you should start by drawing a picture

when you do this, you will see that angle fgh and angle egd are vertical angles, that means they are congruent

therefore:

`64 = 4x + 8`

`56 = 4x`

`x = 14`