   Chapter 2.4, Problem 18E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# 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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