   Chapter 2.4, Problem 18E 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 ¯ ∥ D C ¯ D B → bisects ∠ A D C m ∠ 1 = 36 ° Find: m ∠ A To determine

To find:

The value of mA.

Explanation

Given:

The given statement is,

AB¯DC¯ and DB bisects ADC and m1=36°.

Figure (1)

Properties:

(1) If two parallel lines are cut by a transversal, then the pair of interior angles are congruent.

(2) In a triangle, the sum of the measures of the interior angles is 180°.

Calculation:

The given statement is,

So,

m1=m212

AB¯DC¯

2 and 3 are two interior angles.

23

Use Transitive Property of Congruence

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