Respuesta :

Answer:

x = 38

Step-by-step explanation:

∠ LMO and ∠ NMO form a straight angle and are supplementary, thus

∠ LMO = 180° - 84° = 96°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ KLO is an exterior angle of the triangle, thus

x + 96 = 134 ( subtract 96 from both sides )

x = 38

akposevictor

Based on the triangle sum theorem and the definition of straight line angles, x = 38°

Recall the following:

  • Sum of triangle = 180°.
  • Sum of angles on a straight line = 180°.

Find m∠LMO and m∠MLO

m∠LMO = 180 - 84 (straight line angles)

m∠LMO = 96°

m∠MLO = 180 - 134 (straight line angles)

m∠MLO = 46°

x = 180 - 96 - 46 (triangle sum)

x = 38°

Therefore, based on the triangle sum theorem and the definition of straight line angles, x = 38°

Learn more about triangle sum on:

https://brainly.com/question/17972372

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