Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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