   Chapter 5.2, Problem 35E 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

Given △ A B C , a second triangle ( △ X T N ) is constructed so that ∠ X ≅ ∠ A and ∠ N ≅ ∠ C . a) Is ∠ T congruent to ∠ B ? b) Using intuition (appearance), does it seem that △ X T N is similar to △ A B C ? To determine

a)

Whether T is congruent to B.

Explanation

Approach:

The sum of measure of three angle in a triangle is 180.

Given:

It is given that XA and NC.

Calculation:

In ΔABC,

mA+mB+mC=180mB=180mCmA     (1)

In ΔXTN,

To determine

b)

Whether it seems that ΔABC is similar to ΔXTN.

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