Question

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

Answer 1

x= 2

z = 106

Explanation:

By the definition of vertically opposite angles,

(10x + 54)° = 74° [Pair of opposite angles made by two intersecting lines]

10x = 74 - 54

10x = 20

x = 2

z° + 74° = 180° [Pair of supplementary angles]

z = 180 - 74

z = 106