Respuesta :

mhanifa

Answer:

  • x = 1.5
  • m∠1 = 32.5
  • m∠2 = 32.5

Step-by-step explanation:

Angles 1 and 2 are corresponding and they have equal measures since r and s are parallel.

Use the equation below and find the value of x:

  • m∠1 = m∠2
  • 40 - 5x = 70 - 25x
  • 25x - 5x = 70 - 40
  • 20x = 30
  • x = 30/20
  • x = 1.5

Find the angle measure:

  • m∠1 = m∠2 = 40 - 5*1.5 = 32.5°

corresponding angles are equal

  • 40-5x=70-25x
  • 20x=30
  • x=30/20
  • x=1.5
  • m<1=m<2=70-25(1.5)=32.5°

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