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

Answer:
x=4 °
z = 77°
Step-by-step 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°