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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

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Answer:

x = 13 , z = 74

Explanation:

(14x - 76 )° and 106° are vertically opposite angles and are congruent, so

14x - 76 = 106 ( add 76 to both sides )

14x = 182 ( divide both sides by 14 )

x = 13

-------------------

z° and 106° are a linear pair and sum to 180° , that is

z + 106 = 180 ( subtract 106 from both sides )

z = 74

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