Question

PLZZ HELPZ

Find the values of the variables.
A) x = 8, z = 172
B) x = 8, z = 132
C) x = 8, z = 112
D) x = 5/8,z=705/4

Answer 1

option b is correct x=8 &. z =132

Answer 2

6x = 4x + 16 (vertically opp. angle)

6x - 4x = 16

2x = 16

x = 16/2

x = 8

Also,

6x + z = 180° (linear pair)

6(8) + z = 180°

48 + z = 180°

z = 180 - 48

z = 132°

Hope it helps.