   Chapter 5.2, Problem 19E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Quadrilateral A B C D ∼ quadrilateral H J K L . If m ∠ A = 2 x + 4 , m ∠ H = 68 ∘ , and m ∠ D = 3 x − 6 , find m ∠ L . To determine

To calculate:

The value of mL.

Explanation

Given:

mA=2x+4,mH=68,andmD=3x6.

Definition Used:

The sum of measure of angle in a quadrilateral is 360.

Similarity between Two polygons:

Two polygons are similar if and only if when all pairs of corresponding angles are congruent and all pairs of corresponding sides are proportional.

Calculation:

According to the definition of similar polygon, AH,BJ,DL,andCK

Here, congruent angles are of same measure

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