62 and 11x - 37 are vertical angles, and so they are the same measurements, and will equal each other
11x - 37 = 62
Isolate the x. Do the opposite of PEMDAS. Note the equal sign, what you do to one side you do to the other.
Add 37 to both sides:
11x - 37 (+37) = 62 (+37)
11x = 62 + 37
11x = 99
Isolate the x. Divide 11 from both sides
11x/11 = 99/11
x = 99/11
m∠x = 9°
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To solve for z, use the supplementary angle.
A supplementary angle = 180°
Add z with 62, and place it equal to 180
180 = z + 62
Isolate the variable. Subtract 62 from both sides
180 (-62) = z + 62 (-62)
z = 180 - 62
m∠z = 118°
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hope this helps
