Using Supplementary Angles to Find Unknown Angle Measures

This video tutorial teaches how to find the measure of unknown angles using supplementary angles. It begins with a review of different types of angles, such as right, acute, obtuse, and straight angles. The tutorial highlights a common mistake in solving angle equations and provides a correct method for solving them. Through examples, it demonstrates how to find unknown angles by understanding that supplementary angles add up to 180 degrees. The lesson concludes with a practical example involving stairs and a support beam, reinforcing the concept of supplementary angles.

Which type of angle measures exactly 90 degrees?

• Acute angle

• Straight angle

• Right angle

• Obtuse angle

If you incorrectly add 110 degrees to both sides of the equation 110 + X = 180, what incorrect value do you get for X?

• 110 degrees

• 290 degrees

• 180 degrees

• 70 degrees

In the example with the stairs, what is the measure of the angle between the support beam and the floor?

• 90 degrees

• 180 degrees

• 110 degrees

• 70 degrees

What is the sum of two supplementary angles?

• 270 degrees

• 180 degrees

• 360 degrees

• 90 degrees

If one angle measures 82 degrees, what is the measure of its supplementary angle?

• 98 degrees

• 82 degrees

• 100 degrees

• 78 degrees