Exploring Complementary and Supplementary Angles

The video tutorial covers the concepts of complementary and supplementary angles, starting with a review of adjacent angles. It explains how complementary angles add up to 90 degrees and supplementary angles add up to 180 degrees, providing examples and tips for remembering these concepts. The tutorial also includes practical exercises using algebra to solve for missing angles, reinforcing the understanding of these geometric principles.

What is the sum of complementary angles?

• 180 degrees

• 90 degrees

• 360 degrees

• 45 degrees

Do complementary angles need to be adjacent?

• No, but they must form a linear pair

• No, not necessarily

• Yes, always

• Yes, but only in triangles

What is the sum of supplementary angles?

• 45 degrees

• 360 degrees

• 180 degrees

• 90 degrees

Can supplementary angles be non-adjacent?

• No, they must be adjacent

• Yes, always

• No, not necessarily

• Yes, but only if they form a straight line

If one angle in a complementary pair is 30 degrees, what is the measure of the other angle?

• 30 degrees

• 90 degrees

• 150 degrees

• 60 degrees

In a pair of supplementary angles, if one angle measures 100 degrees, what is the measure of the other angle?

• 90 degrees

• 180 degrees

• 100 degrees

• 80 degrees

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

• Supplementary angles are always adjacent

• Complementary angles add up to 90 degrees

• Supplementary angles add up to 90 degrees

• Complementary angles are larger

If two angles are represented by 3x+8 and 8x+5 and are complementary, what is the value of x?

• 7

• 13

• 11

• 5

For the expressions 3x-7 and 2x+2 representing supplementary angles, what is the value of x?

• 37

• 35

• 40

• 45

If angle A is 104 degrees and angle B is 76 degrees, are they complementary or supplementary?

• Neither

• Supplementary

• Complementary

• Both