106k views
1 vote
Please help me I’ve been at this for like 2 hours now so please help me

Please help me I’ve been at this for like 2 hours now so please help me-example-1

1 Answer

10 votes

Answer:

  • b = 90
  • left and right obtuse angles are 135°; others are 90°

Explanation:

The problem tells you the sum of the angle measures is 540°. Add them up and solve the resulting 2-step linear equation.

Clockwise from top ...

(b) +(b +45) +(90) +(2b -90) +(3/2b) = 540

11/2b +45 = 540 . . . . . . collect terms

11/2b = 495 . . . . . . . . . subtract 45

b = (2/11)(495) = 90 . . . . multiply by the inverse of the b coefficient

__

Now we know b=90. The angle measures, clockwise from top, are ...

90, 90+45 = 135, 90, 2(90)-90 = 90, (3/2)(90) = 135

That is, the obtuse angles are 135° and all the others are 90°.

User Kahonmlg
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories