Math Problem Statement

Which angle is complementary to ∠4?

Solution

In this problem, we are asked to find which angle is complementary to ∠4. Complementary angles are two angles whose measures add up to 90 degrees.

From the diagram:

  • ∠4 and ∠5 appear to be adjacent angles, and they form a right angle, which makes them complementary. Therefore, ∠5 is complementary to ∠4.

Thus, the correct answer is ∠5.

Would you like more details or have any questions?

Here are some related questions for practice:

  1. What does it mean for two angles to be supplementary?
  2. Can two obtuse angles ever be complementary?
  3. What is the complementary angle of a 65° angle?
  4. How can you find the measure of an angle if you know its complement?
  5. Are vertical angles ever complementary?

Tip: Complementary angles always sum up to 90°, while supplementary angles sum up to 180°.

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Math Problem Analysis

Mathematical Concepts

Geometry
Complementary Angles

Formulas

Sum of complementary angles = 90°

Theorems

Complementary Angles Theorem

Suitable Grade Level

Grade 5-7