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In the diagram below of triangle K L M KLM, N N is the midpoint of K M ‾ KM and O O is the midpoint of L M ‾ LM . If m ∠ M L K = 3 x + 75 ∠MLK=3x+75, and m ∠ M O N = 93 − 3 x ∠MON=93−3x, what is the measure of ∠ M L K ∠MLK?

Respuesta :

akposevictor

Applying the Corresponding Angles Theorem, the measure of ∠MLK = 84°

Recall:

Corresponding angles are congruent, that is, their angle measures are equal based on the corresponding angles theorem.

The diagram given, showing triangle KLM is in the image attached below.

m∠MLK and m∠MON are corresponding angles, therefore:

m∠MLK =m∠MON

  • Substitute

3 x + 75 = 93 − 3 x

  • Solve for x

3x + 3x = 93 - 75

6x = 18

x = 3

m∠MLK = 3 x + 75

  • Plug in the value of x

m∠MLK = 3(3) + 75

m∠MLK = 84°

Therefore, applying the Corresponding Angles Theorem, the measure of ∠MLK = 84°

Learn more about the Corresponding Angles Theorem on:

https://brainly.com/question/5221905

Ver imagen akposevictor

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