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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 = 8°, z = 67°

Explanation:

To solve the given question, properties of perpendicular lines angles should be applied.

113 + z = 180 (supplementary angles)

z = 180 - 113

z = 67°

113 = 12x + 17 (vertically opposite angles are equal)

12x = 113 - 17

12x = 96

x = 96/12

x = 8°

Hope it helps :)

User Plinehan
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