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.