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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.

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 class=

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sqdancefan

Answer:

  (x, z) = (7, 69)

Step-by-step 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

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