In parallelogram ABCD if M4BCD=3o find m& DAB. 80

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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**Problem Statement:**

In parallelogram ABCD, if ∠BCD = 80°, find ∠DAB.

**Diagram Explanation:**

The diagram is a parallelogram labeled ABCD with vertices A, B, C, and D. The interior angle at vertex C, labeled ∠BCD, is given as 80°. The goal is to determine the measure of angle ∠DAB, labeled with an "x".

**Solution:**

In a parallelogram, opposite angles are equal, and adjacent angles are supplementary.

Given:
- ∠BCD = 80°

Since opposite angles in a parallelogram are equal:
- ∠DAB = ∠BCD (because ∠DAB and ∠BCD are opposite angles)
- Therefore, ∠DAB = 80°
Transcribed Image Text:**Problem Statement:** In parallelogram ABCD, if ∠BCD = 80°, find ∠DAB. **Diagram Explanation:** The diagram is a parallelogram labeled ABCD with vertices A, B, C, and D. The interior angle at vertex C, labeled ∠BCD, is given as 80°. The goal is to determine the measure of angle ∠DAB, labeled with an "x". **Solution:** In a parallelogram, opposite angles are equal, and adjacent angles are supplementary. Given: - ∠BCD = 80° Since opposite angles in a parallelogram are equal: - ∠DAB = ∠BCD (because ∠DAB and ∠BCD are opposite angles) - Therefore, ∠DAB = 80°
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