Question

Given the figure below, find the vakues of x and z

Answer 1

X = 8

Z = 98

Explanation:

z = 11x + 10 ( Vertically Opposite Angles ) ...(1)

180 - z = 13x - 22 ( Vertically Opposite Angles )

180 + 22 = 13x + z ...(2)

From (1) we get z = 11x + 10, put it in (2)

202 = 13x + 11x + 10

202 - 10 = 24x

24x = 192

x = 192/24

x = 8

put x = 8 in (1)

z = 11x + 10

z = 11(8) + 10

z = 88 + 10

z = 98