Question

Pls help me

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

Answer 1

x=10, z=97

Explanation:
For X:

Since 83 and (13x-47) are vertically opposite they are equal:

13x-47=83

Add 47 to both sides:

13x-47+47=83+47

Simplify:

13x=130

Divide both sides by 13:

13x÷13=130÷13

Simplify:

x=10

For Z:
The angles (13x-47) and z are on a straight line so we can equate the sum of these 2 to 180:

(13x-47)+z=180

Substitute value of x worked out from previous working out:

13(10)-47+z=180

Simplify:

130-47+z=180

83+z=180

Subtract 83 from both sides:

83+z-83=180-83

Simplify:

z=97