Question

Given the figure below, find the values of x and z.
115
(5x + 40)
Z

Answer 1

x = 25 , z = 115

Explanation:

(5x + 40)° and 115° are a linear pair and sum to 180°

sum the 2 angles, equate to 180 and solve for x

5x + 40 + 115 = 180 , that is

x + 155 = 180 ( subtract 115 from both sides )

x = 25

z and 115 are vertically opposite angles and are congruent , then

z = 115