Find x and y. Geomotry. Describe Angle Pair Relationships.?

32) First note that (8x + 26) and 3x are supplementary angles (add to 180°) and solve for x.

8x + 26 + 3x = 180

11x + 26 = 180

11x = 154

x = 14

Then note that (5y + 38) and 3x are also supplementary angles and substitute x = 14 and solve for y.

5y + 38 + 3x = 180

5y + 38 + 42 = 180

5y + 80 = 180

5y = 100

y = 20

You can verify these answers by substituting them back into the original expressions. We get:

8x + 26 = 138

3x = 42

5y + 38 = 138

33) This is similar to 32). Here, we get:

2y + (3y + 30) = 180

5y = 150

y = 30

(4x - 100) + (x + 5) = 180

5x - 95 = 180

5x = 275

x = 55

Once again, you can verify these answers by substituting them back into the original expressions.

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