Question

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

Answer 1

x=4 °

z = 77°

Explanation:

We know vertically opposite angles are equal

HEre (5x+83) and 103 are vertically opposite angles . so they are equal'

Set them equal and solve for x

5x+83= 103

subtract 83 on both sides

5x = 20

Divide both sides by 5

x= 4

103 and angle z are in a straight line

Sum of angles in a straight line is 180 degrees

So 103 + z = 180

subtract 180 on both sides

z = 77°