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4 votes
In the figure, RQS QLK.

What is the value of x?

36
72
108
144

In the figure, RQS QLK. What is the value of x? 36 72 108 144-example-1
User Paks
by
5.8k points

2 Answers

7 votes

Answer:

108

Explanation:

User Tobias Cudnik
by
5.3k points
4 votes

Answer:

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

User Kausha Mehta
by
5.0k points
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