Complementary and Supplementary Angles

This video tutorial covers the basics of angles, including types such as acute, right, obtuse, straight, and reflex angles. It explains how to name angles using points and numbers and explores angle relationships like complementary and supplementary angles. The tutorial also includes problem-solving exercises involving algebraic expressions to find unknown angles.

Which type of angle is exactly 90 degrees?

• Acute angle

• Right angle

• Obtuse angle

• Reflex angle

What is the term for an angle that measures more than 180 degrees but less than 360 degrees?

• Reflex angle

• Straight angle

• Acute angle

• Right angle

When naming an angle using three points, where should the vertex be placed?

• It doesn't matter

• At the end

• In the middle

• At the beginning

What do you call two angles that are across from each other on intersecting lines and are always equal?

• Adjacent angles

• Vertical angles

• Supplementary angles

• Complementary angles

What is the sum of the measures of two complementary angles?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

Which of the following is true for a linear pair of angles?

• They are always equal

• They are always acute

• They add up to 90 degrees

• They add up to 180 degrees

If two angles are supplementary and one measures 70 degrees, what is the measure of the other angle?

• 110 degrees

• 20 degrees

• 90 degrees

• 180 degrees

In a complementary angle relationship, if one angle is 40 degrees, what is the measure of the other angle?

• 60 degrees

• 50 degrees

• 40 degrees

• 70 degrees

What is the first step in solving an algebraic expression for complementary angles?

• Set the sum equal to 180

• Set the sum equal to 90

• Subtract the angles

• Add the angles

If two angles are supplementary and one is represented by 3x + 10, what should the expression for the other angle be?

• 90 - (3x + 10)

• 2x + 10

• 3x + 10

• 180 - (3x + 10)