Question

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

Please explain step by step how to solve, this is a guide for a test.

Answer 1

(x, z) = (7, 69)

Explanation:

Easy first: 69° and z° are vertical angles, so congruent:

z = 69

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The angle marked with an expression in x is supplementary to either of the other two:

(6x +69)° +69° = 180°

6x = 42 . . . . . . . . . . . . divide by °, subtract 138

x = 7 . . . . . . . . . . . . . . divide by 6