Exploring Complementary and Supplementary Angles

The video tutorial explains complementary and supplementary angles, highlighting that complementary angles add up to 90 degrees, while supplementary angles add up to 180 degrees. It uses visual cues like a 'C' for complementary and an 'S' for supplementary to help remember these properties. The tutorial includes examples and algebraic problems to demonstrate how to calculate unknown angles when given certain conditions. The key takeaway is understanding the definitions and properties of these angles and applying them in problem-solving scenarios.

What total degree do complementary angles sum up to?

• 90 degrees

• 360 degrees

• 180 degrees

• 45 degrees

What is the total sum of degrees for supplementary angles?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

What mnemonic can help remember the sum of degrees for complementary angles?

• The letter 'C' for 'circle'

• The letter 'C' for '90 degrees'

• The letter 'E' for 'equal'

• The letter 'S' for 'straight line'

If one angle is 60 degrees, how many degrees would its complementary angle have?

• 60 degrees

• 120 degrees

• 30 degrees

• 90 degrees

For two angles to be supplementary, they must add up to how many degrees?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

If one angle measures 130 degrees, how many degrees must the other angle measure to be supplementary?

• 70 degrees

• 60 degrees

• 40 degrees

• 50 degrees

Which of the following is a correct example of supplementary angles?

• 90 degrees and 90 degrees

• 30 degrees and 60 degrees

• 60 degrees and 120 degrees

• 45 degrees and 45 degrees

In an algebraic expression, if 2x + 30 and x + 10 are supplementary angles, what is the first step to find x?

• Add the expressions and set equal to 180

• Divide both sides by 2

• Set the expressions equal to each other

• Subtract 30 from both sides

What is the value of x if 5x - 20 and 2x + 40 are complementary angles?

• 25

• 15

• 20

• 10

After finding x = 10 in a problem involving complementary angles, how do you find the measures of the angles?

• Multiply x by each coefficient

• Substitute x back into the original expressions

• Add 90 to x

• Divide 90 by x