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Please help. I can't figure it out.

Please help. I can't figure it out.-example-1
User Stefanos Kargas
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2 Answers

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10 votes
This is too hard for me
User WernerW
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21 votes
21 votes

Answer:

see explanation

Explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides )

Here n = 5 , then

sum = 180° × 3 = 540°

Sum the given angles and equate to 540

2b - 90 + 90 + b + 45 + b +
(3)/(2) b = 540, collect like terms

4b + 1.5b + 45 = 540 ( subtract 45 from both sides )

5.5b = 495 ( divide both sides by 5.5 )

b = 90

then

2b - 90 = 2(90) - 90 = 180 - 90 = 90

b + 45 = 90 + 45 = 135


(3)/(2) b = 1.5b = 1.5 × 90 = 135

The angles from least to greatest are

90° , 90° , 90° , 135° and 135°

User Stotastic
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