Exploring Complementary and Supplementary Angles

The video tutorial covers complementary and supplementary angles, explaining their definitions and providing examples. It also includes exercises to determine if angles are complementary, supplementary, or neither. The tutorial further explores solving for x in angle equations and discusses intersections and vertical angles. A real-world problem involving a tributary is used to apply these concepts. Students are instructed to tape notes into their notebooks and complete a Puzzle Time assignment.

What is the sum of measures of complementary angles?

• 360 degrees

• 45 degrees

• 180 degrees

• 90 degrees

What type of angles add up to 180 degrees?

• Vertical

• Adjacent

• Supplementary

• Complementary

If two angles are supplementary and one angle is 120 degrees, what is the measure of the other angle?

• 60 degrees

• 120 degrees

• 180 degrees

• 30 degrees

If two angles are complementary and one angle is 30 degrees, what is the measure of the other angle?

• 90 degrees

• 60 degrees

• 30 degrees

• 150 degrees

What is the measure of an angle that forms a straight line with a 135-degree angle?

• 45 degrees

• 135 degrees

• 225 degrees

• 90 degrees

What is the value of x if x and x - 20 are complementary angles?

• 65

• 45

• 35

• 55

Two angles are supplementary and their measures are 3x + 25 and 2x. What is the value of x?

• 50

• 45

• 25

• 31

If angle one is 130 degrees, what is the measure of its vertical angle?

• 90 degrees

• 180 degrees

• 50 degrees

• 130 degrees

In a pair of adjacent angles where one angle is x degrees and the other is 2x + 21 degrees, forming a supplementary pair, what is the value of x?

• 42

• 74

• 53

• 63

If two angles are vertical angles and one is 50 degrees, what is the measure of the other angle?

• 90 degrees

• 180 degrees

• 50 degrees

• 130 degrees