Question

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

Answer 1

x=5

z=175

Explanation:

(8x+36)=(5x+51) the angles are congruent therefore the equality

simply solve the equation by gathering like terms and simplifying:

8x-5x=51-36

3x=15

x=5

for z:

the angle of a straight line is 180, to determine the angle z we just subtract 5 from 180 thus z=180-5=175