Question

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

Answer 1

Answers:

x = 4

z = 61

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Work Shown:

The left and right angles (119 and 9x+83) are vertical angles.

Therefore, they are congruent or equal angles.

9x+83 = 119

9x = 119-83 ..... subtract 83 from both sides

9x = 36

x = 36/9 .... divide both sides by 9

x = 4

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To find the value of z, we take advantage of the fact that angles 119 and z are supplementary. They add to 180 degrees.

z+119 = 180

z = 180-119 .... subtract 119 from both sides

z = 61