COMPLEMENTARY ANGLES

Complementary Angles

Definition Of Complementary Angles

Complementary Angles are two acute angles that add up to give a right angle, 90°.

34°, 56° and 28°, 62° are examples of complementary angles.

A. 34°
B. 56°
C. 64°
D. 25°
Correct Answer: C

Step 1: Complement of m∠A = 90 - m∠A = 64.

\[ ∠A + ∠B = 90° \]

Use visual aids like right triangles to demonstrate complementary angles. Provide plenty of practice problems, including finding missing angles.

Q1: If angle X is 25 degrees, what is the measure of its complement?

A. 55° B. 65° C. 75° D. 155°

Q2: Which of the following pairs of angles are complementary?

A. 30° and 150° B. 45° and 45° C. 60° and 130° D. 90° and 90°

Q: What is the complement of a 30-degree angle?
A: The complement of a 30-degree angle is 60 degrees, because 30 + 60 = 90.

Q: Can two obtuse angles be complementary?
A: No, because obtuse angles are greater than 90 degrees, and their sum would exceed 90 degrees.