Answer:
x=10, z=97
Step-by-step 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
