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Given:
m∠1 = 95m∠2 = 36∠3 ≅ ∠ACE
please help

Given M1 95m2 363 ACE Please Help class=

Sagot :

Abidemiokinidn

The measure of the unknown angles are as listed:

  • m∠3 = 85degrees
  • m∠4 = 85degrees
  • m∠6 = 36degrees
  • m∠5 = 144degrees
  • m∠7 = 59degrees

Given the following parameters:

  • m∠1 = 95 degrees
  • m∠2 = 36 degrees

Since the sum of angle on a straight line is 180 degrees, hence;

m∠1 +m∠3 = 180

95 + m∠3 = 180

m∠3 = 180 - 95

m∠3 = 85degrees

  • From the diagram, m∠3 = m∠4 = 85 degrees (vertical angles)
  • Similarly, m∠6 = m∠2 = 36degrees (vertical angles)

The sum of angle on a straight line is 180 degrees, hence;

m∠2 +m∠5 = 180

36 + m∠5= 180

m∠5 = 180 - 36

m∠5 = 144degrees

Taking the sum of the interior angle of the triangle BEF;

m∠4 + m∠6 + m∠7 = 180

85 + 36 + m∠7 = 180

121 + m∠7 = 180

m∠7 = 180 - 121

m∠7 = 59degrees

Learn more on angles here: https://brainly.com/question/25716982

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