Question

Help Given the figure below, find the values of x and z

Answer 1

x = 8

z = 65

Explanation:

Vertical angles are congruent

14x + 3 = 5x + 75 Subtract 5x from both sides

14x - 5x + 3 = 5x - 5x + 75

9x + 3 = 75 Subtract 3 from both sides

9x + 3 - 3 = 75 - 3

9x = 72 Divide both sides by 9

`(9x)/(9)` =
`(72)/(9)`

x = 8

5x + 75

5(8) + 75

40 + 75

115

Adjacent angles are supplemental

115 + z = 180 Subtract 115 from both sides

115 - 115 + z = 180 - 115

z = 65

Helping in Jesus' name.