Question

I need help finding the values of X and Z. Please ANYONE help me! ​

Answer 1

`x = {7}^(o) \\ z = {63}^(o)`

Explanation:

`{(10x - 7)}^(o) + {(5x + 82)}^(o) = {180}^(o) \\ 10x - 7 + 5x + 82 = {180}^(o) \\ 15x + 75 = {180}^(o) \\ 15x = {180}^(o) - 75 \\ 15x = {105}^(o) \\ x = \frac{ {105}^(o) }{15} \\ x = {7}^(o) \\`

(10x-7)° = z° (opposite angles)

`{(10x - 7)}^(o) = {z}^(o) \\ 10(7) - 7 = {z}^(o) \\ 70 - 7 = {z}^(o) \\ {63}^(o) = {z}^(o) \\`

Answer 2

x=7, z=63

Explanation:

(10x-7)+(5x+82)=180

15x+75=180

15x=105

x=7

5(7)+82=117

180-117=63

:)