In this figure, identify two angles that are complementary. F 40 G 50° E D H

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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### Complementary Angles

**Question:**
In this figure, identify two angles that are complementary.

**Diagram Explanation:**
The diagram provided shows a point D where several lines intersect, forming various angles. 
- Angle ∠EDF measures 40°.
- Angle ∠FDH measures 50°.
- Several points are marked: E, D, F, G, and H. The angles formed between these lines can be identified and analyzed for complementary relationships. 

**Options:**
A. ∠EDF, ∠FDH
B. ∠EDF, ∠FDG
C. ∠FDG, ∠GDH
D. ∠GDH, ∠FDH

In geometry, two angles are complementary if their measures add up to 90°. Carefully examine the angles provided in the diagram and compare each option to see which pair of angles sums to 90°. 

**Correct Answer:** 
A. ∠EDF, ∠FDH (since 40° + 50° = 90°)

Use this example to understand the concept of complementary angles, which is a fundamental idea in geometry.
Transcribed Image Text:### Complementary Angles **Question:** In this figure, identify two angles that are complementary. **Diagram Explanation:** The diagram provided shows a point D where several lines intersect, forming various angles. - Angle ∠EDF measures 40°. - Angle ∠FDH measures 50°. - Several points are marked: E, D, F, G, and H. The angles formed between these lines can be identified and analyzed for complementary relationships. **Options:** A. ∠EDF, ∠FDH B. ∠EDF, ∠FDG C. ∠FDG, ∠GDH D. ∠GDH, ∠FDH In geometry, two angles are complementary if their measures add up to 90°. Carefully examine the angles provided in the diagram and compare each option to see which pair of angles sums to 90°. **Correct Answer:** A. ∠EDF, ∠FDH (since 40° + 50° = 90°) Use this example to understand the concept of complementary angles, which is a fundamental idea in geometry.
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