Understanding Linear Pairs and Supplementary Angles

The video tutorial explains the concept of linear pairs, which are pairs of adjacent angles that add up to 180 degrees, forming a straight line. It highlights the difference between linear pairs and supplementary angles, noting that while both equal 180 degrees, linear pairs are specifically adjacent. An example is provided to illustrate how two angles, one being 140 degrees and the other 40 degrees, form a linear pair. The tutorial emphasizes the importance of understanding the adjacency and supplementary nature of linear pairs in geometry.

What is a linear pair?

• Two angles that are complementary

• Two angles that add up to 90°

• Two angles that add up to 180°

• Two angles that are equal

What does it mean for two angles to be adjacent?

• They are equal in measure

• They are opposite each other

• They share a common side

• They add up to 90°

If angle A is 140°, what is the measure of angle B in a linear pair with angle A?

• 70°

• 60°

• 50°

• 40°

What is the sum of the angles in a linear pair?

• 90°

• 180°

• 270°

• 360°

What is the relationship between linear pairs and supplementary angles?

• Linear pairs are always complementary

• All supplementary angles are linear pairs

• Linear pairs are not related to supplementary angles

• All linear pairs are supplementary angles

Do supplementary angles need to be adjacent?

• Yes, always

• Only if they are equal

• No, they can be non-adjacent

• Only if they are complementary

What is the key difference between linear pairs and supplementary angles?

• Supplementary angles are always complementary

• Linear pairs are specifically adjacent and supplementary

• Supplementary angles are always adjacent

• Linear pairs are always equal

Which of the following is true about linear pairs?

• They are always equal in measure

• They always add up to 90°

• They share a common side and add up to 180°

• They are always complementary