Answered

IDNLearn.com: Your go-to resource for finding expert answers. Join our community to receive prompt and reliable responses to your questions from knowledgeable professionals.

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

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Accurate answers are just a click away at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.