Finding Missing Angle Measurements Using Vertical Angles

This lesson teaches how to find angle measurements using vertical angles. It begins with a review of supplementary angles, explaining that they sum to 180 degrees and can be adjacent. When two lines intersect, they form adjacent supplementary angles. The lesson demonstrates calculating angle measurements by subtracting known values and highlights that vertical angles are congruent. It concludes with solving problems involving vertical angles, emphasizing their congruence and how to determine unknown angle measurements.

What is the sum of two supplementary angles?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

If angle ABE measures 65 degrees, what is the measure of angle ABC if they are supplementary?

• 120 degrees

• 65 degrees

• 115 degrees

• 180 degrees

Which of the following statements is true about vertical angles?

• They are always congruent.

• They always measure 90 degrees.

• They are always adjacent.

• They are always supplementary.

If angle ABD measures 128 degrees, what is the measure of angle CBE?

• 52 degrees

• 128 degrees

• 180 degrees

• 90 degrees

How can you find the measure of angle EBD if angle ABC is 115 degrees and they are vertical angles?

• It is also 115 degrees

• Subtract 115 from 180

• It is half of 115 degrees

• Add 115 to 180