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Help please!! would be much appreciated!

Help please!! would be much appreciated!-example-1

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Answer:

11. x = 5 and the angle is 110 degrees

17. x = 9 and the angle is 75 degrees

To solve the others see below how to do it.

Explanation:

To solve for x, notice that each angle has a relationship with the other. Many are congruent and a few add together to 180 degrees. To solve for x, use these relationships to algebraically solve for x.

11. 23x-5=22x

-5 = -x

5 = x

To find the angle substitute x into the expression like 22(5) = 110

Repeat this strategy on 12, 13, 14, 16, 18, and 20.

For problems 15, 17, and 19, use the following strategy:

17. 15x + 45 = 180

15x = 135

x = 9

To find the angle, substitute 15 (5) = 75.

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