Math Problem Statement

Which angles are complementary to each other? Select all that apply.

Solution

To determine which angles are complementary to each other, we need to understand that complementary angles add up to 90 degrees. In the given diagram:

Analysis:

  1. Complementary angle pairs occur when two angles are adjacent and their measures total 90°.
  2. For example:
    • ∠5 and ∠3 form a complementary pair if their sum equals 90°.
    • Similarly, ∠1 and ∠6 are complementary if their sum equals 90°.

However, to confirm the correctness of each pair provided in the options, the angle measures need to be known explicitly or inferred from the diagram.

Would you like a detailed step-by-step walkthrough of this reasoning?

Related Questions:

  1. What is the difference between complementary and supplementary angles?
  2. Can complementary angles be non-adjacent?
  3. How do vertical angles relate to complementary angles?
  4. How can you calculate the measure of angles in a diagram without given values?
  5. What is the role of adjacent angles in determining complementary pairs?

Tip:

Always verify whether the angles are adjacent or share a common ray before deciding if they are complementary in geometric diagrams.

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Math Problem Analysis

Mathematical Concepts

Complementary Angles
Angle Measurement
Geometry

Formulas

Two angles are complementary if their sum equals 90°.

Theorems

Complementary Angle Theorem

Suitable Grade Level

Grades 6-8