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3 years ago

Find m angle H 9x + 7 . 10x + 8 110 61 degrees 58 degrees 56 degree 52 degrees

Mathematics

1 answer:

valina [46]3 years ago

3 0

Answer:

d. 52 degrees

Step-by-step explanation:

First, create an equation, then solve for x.

(9x + 7) + (10x + 8) = 110° (exterior angle theorem)

Solve for x

9x + 7 + 10x + 8 = 110

Add like terms

19x + 15 = 110

Subtract 15 from each side

19x = 110 - 15

19x = 95

Divide both sides by 19

x = 95/19

x = 5

Next, find m<H

m<H = 9x + 7

Plug in the value of x

m<H = 9(5) + 7 = 45 + 7

m<H = 52°

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