Exploring Complementary Angles and Their Relationships

The video tutorial explains complementary angles, which are angles that add up to 90 degrees. It demonstrates how to solve for unknown angles using algebraic equations and provides examples of identifying complementary angles in diagrams. The tutorial also clarifies the difference between complementary and supplementary angles, emphasizing the importance of recognizing right angles in geometric figures.

What is the sum of complementary angles?

• 360 degrees

• 45 degrees

• 90 degrees

• 180 degrees

If one angle is 70 degrees, what is the measure of its complementary angle?

• 90 degrees

• 70 degrees

• 110 degrees

• 20 degrees

What is the measure of an angle that is complementary to a 40-degree angle?

• 50 degrees

• 140 degrees

• 90 degrees

• 40 degrees

Solve for x: 3x + 9 + 2x + 1 = 90.

• 16

• 22

• 18

• 20

What is the value of 2x + 1 when x = 16?

• 32 degrees

• 33 degrees

• 31 degrees

• 34 degrees

After solving for x, what is the measure of the angle 3x + 9?

• 57 degrees

• 48 degrees

• 49 degrees

• 50 degrees

In a diagram, which angles are complementary if they are marked by a box indicating a right angle?

• Angle 3 and Angle 4

• Angle 2 and Angle 5

• Angle 1 and Angle 2

• Angle 4 and Angle 5

Which angles are complementary in a scenario where a straight line forms a 180-degree angle?

• Angles forming 360 degrees each

• Angles forming 180 degrees each

• Angles forming 45 degrees each

• Angles forming 90 degrees each

What does it mean for two angles to be supplementary?

• They are both acute angles

• They add up to 90 degrees

• They add up to 180 degrees

• They are equal in measure

If an angle measures 90 degrees, what type of angle is it?

• Right

• Reflex

• Acute

• Obtuse