Complementary and Supplementary Angles

In this video, the teacher explains how to solve problems involving complementary and supplementary angles using algebra. The video covers the creation of equations to find unknown angles and demonstrates the process with examples. The teacher provides step-by-step solutions to problems, emphasizing the concepts of complementary angles summing to 90 degrees and supplementary angles summing to 180 degrees. The video concludes with additional examples and encourages viewers to engage with the content.

What is the main topic discussed in the video?

• Trigonometry

• Complementary and Supplementary Angles

• Calculus

• Statistics

What is the sum of complementary angles?

• 45 degrees

• 360 degrees

• 180 degrees

• 90 degrees

If angle one is represented by x + 6 degrees, what is the expression for angle two?

• 2x + 3 degrees

• 4x + 6 degrees

• x + 2 degrees

• 3x + 2 degrees

What is the value of x if the equation is 4x + 8 = 90?

• 20.5

• 23.5

• 22.5

• 21.5

What is the measure of angle one if x = 20.5?

• 28.5 degrees

• 26.5 degrees

• 30.5 degrees

• 25.5 degrees

What is the measure of angle two if angle one is 26.5 degrees?

• 62.5 degrees

• 65.5 degrees

• 60.5 degrees

• 63.5 degrees

What is the sum of supplementary angles?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

If angle one is 115 degrees, what is the expression for angle two?

• x + 9

• 3x + 9

• 4x + 9

• 2x + 9

What is the value of x if the equation is 2x + 124 = 180?

• 33

• 32

• 34

• 31

What is the measure of angle two if angle one is 115 degrees?

• 66 degrees

• 64 degrees

• 65 degrees

• 63 degrees