Linear Pairs and Supplementary Angles

The video tutorial explains supplementary angles, which are two angles whose measures add up to 180 degrees. It distinguishes them from complementary angles, which add up to 90 degrees. The tutorial covers the concepts of lines, rays, and opposite rays, and how they form angles. It also discusses adjacent angles and introduces linear pairs as a specific type of supplementary angles. The key takeaway is that while all linear pairs are supplementary, not all supplementary angles are linear pairs.

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

• 360 degrees

• 45 degrees

• 180 degrees

• 90 degrees

What is the measure of a right angle?

• 180 degrees

• 90 degrees

• 45 degrees

• 360 degrees

What geometric shape is formed by a 180-degree angle?

• Triangle

• Square

• Line

• Circle

What are opposite rays?

• Rays that form a 360-degree angle

• Rays that form a 180-degree angle

• Rays that form a 45-degree angle

• Rays that form a 90-degree angle

If two angles are supplementary, do they have to be adjacent?

• Yes, always

• Only if they are vertical angles

• Only if they are complementary

• No, they do not have to be adjacent

What is a linear pair?

• Two non-adjacent angles that form a 90-degree angle

• Two non-adjacent angles that form a 180-degree angle

• Two adjacent angles that form a 180-degree angle

• Two adjacent angles that form a 90-degree angle

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

• They are supplementary

• They are complementary

• They are vertical angles

• They are congruent

Can two angles be supplementary without forming a linear pair?

• Yes

• Only if they are vertical

• No

• Only if they are adjacent

What is the relationship between a linear pair and supplementary angles?

• Linear pairs are always complementary

• Linear pairs are never supplementary

• All supplementary angles are linear pairs

• All linear pairs are supplementary angles

Which of the following statements is true?

• All adjacent angles are supplementary

• All supplementary angles are adjacent

• All linear pairs are adjacent

• All adjacent angles are linear pairs