Holt Mcdougal Larson Algebra 2: Student Edition 2012
Holt Mcdougal Larson Algebra 2: Student Edition 2012
1st Edition
ISBN: 9780547647159
Author: HOLT MCDOUGAL
Publisher: HOLT MCDOUGAL
Expert Solution & Answer
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Chapter SR22, Problem 15P
Solution

The two polygons are similar. Find the value of x.

  x=40o .

Given:

The given polygon.

  Holt Mcdougal Larson Algebra 2: Student Edition 2012, Chapter SR22, Problem 15P , additional homework tip  1

Concept Used:

  • If two figures or objects are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

Calculation:

The given polygon is −

  Holt Mcdougal Larson Algebra 2: Student Edition 2012, Chapter SR22, Problem 15P , additional homework tip  2

As the two polygons are similar so their corresponding angles are congruent.

So 124o=(3x+4)o

   124 o = (3x+4) o 124=3x+41244=3x120=3x3x=120x=1203x=40

  x=40o

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