Question

12) m
1) MZHGF = 16x + 4, mZEGF= 110°,
and mZHGE = 3x + 11. Find x.
G
H

Answer 1

`5 = x`

Explanation:

Since we are not given a midpoint, we use the Angle Addition Postulate:

110 = [3x + 11] + [16x + 4]

110 = 15 + 19x

- 15 - 15

_______________

95 = 19x

___ ___

19 19

5 = x

110 = [3[5] + 11] + [16[5] + 4]

15 80

110 = 110 ☑

Therefore,
`5 = x`is a genuine statement.

I am joyous to assist you anytime.