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3 years ago

What is the answer to this?

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

4 0

Answer:

Step-by-step explanation:

The angles (5x - 5)° and (6x + 31)° are supplementary angles.

Supplementary Angles add up to 180°.

Therefore we have the equation:

5x - 5 + 6x + 31 = 180 <em>combine like terms</em>

(5x + 6x) + (-5 + 31) = 180

11x + 26 = 180 <em>subtract 26 from both sides</em>

11x = 154 <em>divide both sides by 11</em>

x = 14

The angles (5x - 5)° and z° are vertical angles.

Vertical angles are congruent.

Therefore we have the equation:

z = 5x - 5 <em>put x = 14 to the equation</em>

z = 5(14) - 5

z = 70 - 5

z = 65

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The picture of the question in the attached figure

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