Question

In the figure, RQS QLK.

What is the value of x?

36
72
108
144

Answer 1

108

Explanation:

Answer 2

x = 108

Explanation:

∠RQS = ∠QLK = x ( corresponding angles )

∠QLK and ∠KLM form a straight angle and are supplementary, thus

∠QLK + ∠KLM = 180 ← substitute values

x + x - 36 = 180

2x - 36 = 180 ( add 36 to both sides )

2x = 216 ( divide both sides by 2 )

x = 108