Answer:
x = 14, z = 65
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