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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?

36
72
108
144

Respuesta :

tamarapmccutchen2004

Answer:

C. 108

Step-by-step explanation: This is the correct answer on Edge 2021, just took the quiz and made a 100%. Hope this helps ^-^.

The value of 'x' is 108° . Option C

How to determine the value of x

From the illustration,

Angle RQS is at Q = x degrees

Angles KLM is at L = x - 36 degrees

Note that they are corresponding angles

Corresponding angles sum up to 180°

Then equate both angles to 180 degrees

x + x - 36 = 180°

Collect like terms

2x = 180 + 36

2x = 216

Make 'x' subject of formula

x = 216 / 2

x = 108°

Therefore, the value of 'x' is 108° . Option C

Learn more about corresponding angles here:

https://brainly.com/question/2009183

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