Question

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

Answer 1

Answer:

$5 = x$

Step-by-step 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.

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