Question

Given opposite rays JK and KL with point M not on either ray, m∠JKM = 6x - 8 and m∠MKL = 2x + 14, find m∠JKM.

Answer 1

122.5°

Explanation:

The angles add to form a linear pair, so the angles add to 180°. Thus, 8x=174, meaning x=21.75.

So, angle JKM is 6(21.75)-8 = 122.5°.