Question

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

Answer 1

x = 11, z = 91

Explanation:

z = 91. Reason: Vertical angles are equals.

Angles on a straight line add up to 180, so:

(7x + 12) + 91 = 180

7x + 12 + 91 =180

7x + 103 =180

7x = 77

x = 11

Answer 2

z = 91

x = 11

Explanation:

Angle Z is a vertical angle to the 91-degree angle, so they are congruent, or equal.

To solve for x, you can use the equation 91 + 7x + 12 = 180 to solve for x:

91 + 7x + 12 = 180

103 + 7x = 180

7x = 77

x = 11