   Chapter 2.CR, Problem 4CR ### 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
1 views

# Given: m ∠ B = 75 ° m ∠ D C E = 50 ° Find: m ∠ D and m ∠ D E F To determine

To find:

The measure of the angles.

Explanation

Given:

The given statement is,

mB=75°mDCE=50°AB¯CD¯BC¯DE¯

Figure (1)

Property:

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

(2) The measure of an exterior angle of a triangle equals the sum of the measures of the two nonadjacent interior angles.

Calculation:

mB=75°mDCE=50°AB¯CD¯BC¯DE¯

B and BCD are alternate interior angles.

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