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Given the figure below, find the values of x and z.

Given the figure below, find the values of x and z.-example-1
User Stefs
by
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1 Answer

3 votes

Answer:

x = 5, z = 103

Explanation:

To solve for x:

11x + 22 = 6x + 47 ( Vertical angles are congruent/

have equal measure)

subtract 6x and 22 from both sides

5x = 25

x=5

11x + 22 + z = 180 (linear pairs are supplementary)

substitute 5 for x

11(5) + 22 + z = 180

55 + 22 + z = 180

77 + z = 180

-77 = -77

z = 103

User Spencer Williams
by
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