 # Consider ▱ ABCD as shown. a) How are ∠ A and ∠ C related? b) How are ∠ A and ∠ B related? ### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
Publisher: Cengage,
ISBN: 9781337614085 ### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
Publisher: Cengage,
ISBN: 9781337614085

#### Solutions

Chapter
Section
Chapter 4.CT, Problem 1CT
Textbook Problem

## Consider ▱ ABCD as shown.a) How are ∠ A and ∠ C related?b) How are ∠ A and ∠ B related? Expert Solution
To determine

To Find:

The relation between A and C.

Solution:

A and C are congruent angles.

### Explanation of Solution

Given parallelogram, From the property opposite angles in a parallelogram are congruent.

Since ABCD is a parallelogram, A and C are opposite angles then A and C are congruent angles.

The Final statement:

A and C are congruent angles.

Expert Solution
To determine

To Find:

The relation between A and B.

Solution:

A and B are supplementary angles.

### Explanation of Solution

Given parallelogram, From the property consecutive angles in a parallelogram are supplementary.

Since ABCD is a parallelogram, A and B are consecutive angles then A and B are supplementary angles.

The Final statement:

A and B are supplementary angles.

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