Respuesta :

Answer:

m = 35 , n = 110

Step-by-step explanation:

the opposite angles of a parallelogram are congruent , then

2m = 70 ( divide both sides by 2 )

m = 35

consecutive angles are supplementary, that is sum to 180° , then

n + 70 = 180 ( subtract 70 from both sides )

n = 110

Solution:

We know that:

  • In a parallelogram, opposite angles are equivalent

This means that:

  • 70 = 2m

Divide 2 both sides to find m:

  • 70 = 2m
  • 70/2 = 2m/2
  • m = 70/2 = 35°

We can see that two angles measuring 70° and n° are a linear pair.

  • n + 70 = 180
  • n = 180 - 70 = 110°

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