Question

What is the value of k? A. 17 B. 48 C. 132 D. 19
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Answer 1

A

Explanation:

Linear pair:

If the uncommon arms of a adjacent angles form a straight line, then they are called linear pair and they add up to 180°.

8k - 4 + 2k + 14 = 180

8k + 2k - 4 + 14 = 180

Combine like terms,

10k + 10 = 180

Subtract 10 from both sides,

10k = 180 - 10

10k = 170

Divide both sides by 10,

k = 170 ÷ 10

`\boxed{\bf k = 17^\circ}`