Complementary and Supplementary Angles

This video lesson by Mrs. Apia covers complementary and supplementary angles. Students learn to solve for unknown angles in word problems and diagrams, review key angle terminology, and practice identifying angle relationships. The lesson includes exercises to model relationships with equations and solve for unknown values. By the end, students should be able to solve problems involving multiple angle relationships.

What is the primary focus of the lesson on complementary and supplementary angles?

• Understanding the history of angles

• Solving for unknown angles in problems

• Learning about angle measurement tools

• Exploring the use of angles in architecture

Which of the following is true about vertical angles?

• They are always adjacent

• They are always complementary

• They have equal measures

• They form a right angle

What is the sum of angles on a line?

• 360 degrees

• 180 degrees

• 90 degrees

• 45 degrees

What is the sum of complementary angles?

• 360 degrees

• 45 degrees

• 180 degrees

• 90 degrees

Which of the following statements is true about angles at a point?

• They sum up to 360 degrees

• They are always equal

• They are always supplementary

• They always sum up to 90 degrees

How can you remember the difference between complementary and supplementary angles?

• Complementary angles are larger

• Supplementary angles are always 90 degrees

• Complementary angles are always on a line

• The 'C' in complementary is part of 90, and the 'S' in supplementary is part of 180

If two angles are in the ratio of 2:3 and are supplementary, what is the measure of the smaller angle?

• 72 degrees

• 36 degrees

• 108 degrees

• 54 degrees

In a pair of complementary angles, if one angle is three times the other, what is the measure of the smaller angle?

• 45 degrees

• 30 degrees

• 22.5 degrees

• 15 degrees

What is the measure of an angle if its supplement is 6 degrees more than twice the angle?

• 62 degrees

• 58 degrees

• 74 degrees

• 80 degrees

If two angles are complementary and one angle is 32 degrees more than three times the other, what is the measure of the smaller angle?

• 22 degrees

• 18 degrees

• 14.5 degrees

• 25 degrees