Math Problem Statement

If two angles are complementary, and one of them measures 37 degrees, what is the measure of the other angle? * a) 37° b) 53° c) 127° d) 143°

Solution

Two angles are complementary if the sum of their measures is 9090^\circ.

Given that one angle is 3737^\circ, we can find the other angle by subtracting 3737^\circ from 9090^\circ:

Other angle=9037=53\text{Other angle} = 90^\circ - 37^\circ = 53^\circ

So, the measure of the other angle is 53°.

The correct answer is:
b) 53°

Would you like further explanation or have any additional questions?

Here are some related questions:

  1. What is the relationship between complementary and supplementary angles?
  2. How do you find the measure of one angle when two angles are supplementary?
  3. If two angles add up to 180°, what type of angles are they called?
  4. What is the sum of the interior angles of a triangle?
  5. How do you solve problems involving complementary and supplementary angles in real-world contexts?

Tip: When working with complementary angles, always remember that their sum is exactly 9090^\circ.

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Math Problem Analysis

Mathematical Concepts

Angles
Complementary Angles

Formulas

Sum of complementary angles = 90°

Theorems

Complementary Angles Theorem

Suitable Grade Level

Grades 4-6