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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Section
BuyFindarrow_forward

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 = m K = 70 , and m B = 110 , .What types of quadrilaterals are A B C D H J K L ?

To determine

The types of quadrilateral of ABCD and HJKL.

Explanation

Given:

mA=mK=70,and mB=110.

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,and CK

Here, congruent angles are of same measure.

mC=mK=70mJ=mB=110mH=mA=70

In quadrilateralABCD,

mA+mB+mC+mD=360

Substitute the value of mA,mB,and mC in an above equation, we get

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