Question

What is the value of z? A. 62 B. 143 C. 18 D. 37
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Answer 1

c) 18

Explanation:

When two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are called co-interior angles. Co-interior angles are supplementary.

2z + 1 + 7z + 17 = 180

2z + 7z + 1 + 17 = 180

Combine like terms,

9z + 18 = 180

Subtract 18 from both sides,

9z = 180 - 18

9z = 162

Divide both sides by 9,

z = 162 ÷ 9

`\boxed{\bf z = 18}`