Complementary and Supplementary Angles

This video tutorial introduces complementary and supplementary angles, explaining their definitions and providing examples. It covers the notation used to measure angles and outlines the learning objectives for students. The video also demonstrates how to identify these angles and solve for missing measures using equations. Students are encouraged to review the material and complete assignments to reinforce their understanding.

What is the main objective of today's lesson?

• To learn about acute and obtuse angles

• To identify and work with complementary and supplementary angles

• To understand parallel and perpendicular lines

• To calculate the area of triangles

What does the notation 'm∠1' signify?

• The magnitude of angle 1

• The measure of angle 1

• The mean of angle 1

• The midpoint of angle 1

Which of the following pairs of angles are complementary?

• 45° and 135°

• 100° and 80°

• 60° and 30°

• 90° and 90°

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

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

Which of the following pairs of angles are supplementary?

• 90° and 90°

• 45° and 45°

• 80° and 80°

• 120° and 60°

If two angles add up to 175 degrees, they are:

• Both

• Neither

• Complementary

• Supplementary

What is the first step in identifying if two angles are complementary or supplementary?

• Check if they form a right angle

• Add their measures

• Subtract their measures

• Multiply their measures

How do you find the missing measure of a complementary angle?

• Set up an equation equal to 180

• Subtract the known angle from 180

• Set up an equation equal to 90

• Multiply the known angle by 2

In the equation 2x + 28 = 90, what does x represent?

• The measure of a supplementary angle

• The measure of a complementary angle

• The total measure of two angles

• The difference between two angles

If two angles are supplementary and one is 123 degrees, what is the measure of the other angle?

• 57 degrees

• 67 degrees

• 77 degrees

• 87 degrees