In the figure, AngleRQS Is-congruent-to AngleQLK. 3 lines are shown. Lines S P and K N are parallel. Line R M intersects line S
P at point Q, and intersects line K N at point L. Angle R Q S is x degrees. Angle K L M is (x minus 36) degrees. What is the value of x?
2 answers:
Answer:
x = 108
Step-by-step explanation:
The attached image shows all the information given in the question.

We are given that
Angle RQS is congruent to Angle QLK
Thus, we can write:

Since angle QLK and angle KLM forms a straight angle, we can write:

Thus, x = 108

Answer:
x=108
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠RQS≅m∠QLK -----> by corresponding angles
m∠KLM+m∠QLK=180° -----> by supplementary angles (consecutive interior angles)
we have that
m∠RQS=x° ----> given problem
so
m∠QLX=x°
m∠KLM=(x-36)° ----> given problem
substitute

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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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