Understanding Complements and Supplements

The video tutorial explains how to find the complement and supplement of angles, focusing on radians. It covers the concept of complements as two angles adding up to 90° or Pi halves, and supplements as two angles adding up to 180° or Pi. The tutorial includes algebraic methods to solve for unknown angles and emphasizes the importance of common denominators in calculations. It concludes with a reminder of the need for practice in handling fractions.

What is the sum of two angles that are complements?

• 180°

• 45°

• 90°

• 360°

In radians, what is the equivalent of a 90° angle?

• π

• π/4

• π/2

• 2π

What is the complement of 5π/8?

• π/2

• π/8

• 3π/8

• No complement exists

Why does 5π/8 not have a complement?

• It is equal to π/2

• It is less than π/2

• It is a negative angle

• It is more than π/2

What is the sum of two angles that are supplements?

• 360°

• 90°

• 180°

• 45°

In radians, what is the equivalent of a 180° angle?

• π

• π/2

• 2π

• π/4

What is the first step in finding the supplement of 5π/8?

• Divide 5π/8 by 2

• Subtract 5π/8 from π

• Multiply 5π/8 by 2

• Add 5π/8 to π

Why is it necessary to find a common denominator when solving for the supplement?

• To simplify the equation

• To convert to degrees

• To ensure the angles are in the same unit

• To make the equation more complex

What is the supplement of 5π/8?

• π/8

• 3π/8

• 5π/8

• π/2

What does it mean if an angle does not have a complement?

• It is a negative angle

• It is exactly 90°

• It is more than 90°

• It is less than 90°