Math Problem Statement

The measure of an angle is 89°. Find the measure of the complement.

Solution

The problem asks to find the complement of an angle measuring 89°.

To find the complement of an angle, we use the formula:

Complement=90Given angle\text{Complement} = 90^\circ - \text{Given angle}

Substituting the given angle:

Complement=9089=1\text{Complement} = 90^\circ - 89^\circ = 1^\circ

So, the complement of the 89° angle is .

Would you like further details or have any questions? Here are some related questions:

  1. What is the definition of complementary angles?
  2. Can two angles have a sum greater than 90° and still be complementary?
  3. What happens if the given angle is exactly 90°? Can it have a complement?
  4. What is the difference between complementary and supplementary angles?
  5. Can you find the complement of an angle greater than 90°?

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

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Math Problem Analysis

Mathematical Concepts

Geometry
Complementary Angles

Formulas

Complement = 90° - Given Angle

Theorems

Definition of Complementary Angles

Suitable Grade Level

Grades 5-7