Question

What is the answer to this?

Answer 1

Answer:

x = 14, z = 65

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             combine like terms

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

11x + 26 = 180               subtract 26 from both sides

11x = 154             divide both sides by 11

x = 14

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

Vertical angles are congruent.

Therefore we have the equation:

z = 5x - 5               put x = 14 to the equation

z = 5(14) - 5

z = 70 - 5

z = 65