Math Problem Statement

The measure of an angle is 87°. What is the measure of its complementary angle?

Solution

The measure of two complementary angles adds up to 90°. Therefore, the measure of the complementary angle of an 87° angle can be found by subtracting 87° from 90°:

9087=390^\circ - 87^\circ = 3^\circ

So, the measure of the complementary angle is 3°.

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Here are 5 related questions for further practice:

  1. What is the complementary angle of a 35° angle?
  2. If two angles are complementary and one measures 45°, what is the measure of the other?
  3. Can two obtuse angles be complementary? Why or why not?
  4. What is the complementary angle of a 60° angle?
  5. If an angle measures 25°, what is the sum of its complementary and supplementary angles?

Tip: Always remember that complementary angles add up to 90°, while supplementary angles add up to 180°.

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Math Problem Analysis

Mathematical Concepts

Geometry
Complementary Angles

Formulas

Sum of complementary angles = 90°

Theorems

Complementary Angle Theorem

Suitable Grade Level

Grades 6-8