Using Consecutive Interior Angles to Find Unknown Angle Measures

This video tutorial teaches how to solve for unknown angle measures using consecutive interior angles. It begins with a review of supplementary angles and addresses common mistakes in identifying consecutive interior angles. The tutorial explains the relationships between intersecting lines, vertical angles, and supplementary angles. A practical example involving street intersections is used to demonstrate the application of these concepts, showing how to calculate an unknown angle using the properties of consecutive interior angles.

What is the sum of two supplementary angles?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

Which of the following is true about consecutive interior angles?

• They sum up to 180 degrees.

• They are on opposite sides of the intersecting line.

• They are always supplementary.

• They are always equal.

What do intersecting lines create?

• Only supplementary angles

• Only vertical angles

• Parallel lines

• Pairs of equal vertical angles and supplementary angles

In the context of street intersections, if one angle is 100 degrees, what is the measure of its consecutive interior angle?

• 60 degrees

• 100 degrees

• 80 degrees

• 90 degrees

How do you find the measure of an unknown angle using consecutive interior angles?

• Add the known angle to 90 degrees

• Subtract the known angle from 180 degrees

• Multiply the known angle by 2

• Divide the known angle by 2