Using Math to Solve Billiards Angle Problems

This lesson teaches how to write equations for multi-step problems using angle relationships. It begins with a review of supplementary angles and introduces the concept of angles of approach and departure using a pool table example. The lesson includes solving equations to find unknown angles in various scenarios, such as a pool ball hitting a table and a test problem involving triangle angles. The lesson concludes with a summary of the key concepts covered.

What is the sum of supplementary angles?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

If a pool ball creates a 120-degree angle with the table, what is the angle of departure?

• 45 degrees

• 60 degrees

• 30 degrees

• 90 degrees

In a pool table problem, if the angle of approach is 40 degrees, what is the angle formed by the path of the ball?

• 120 degrees

• 60 degrees

• 100 degrees

• 80 degrees

What is the measure of angle BCD if angle m is 63.2 degrees and angles m and n are supplementary?

• 90 degrees

• 63.2 degrees

• 116.8 degrees

• 180 degrees

Why do the two other angles of a triangle equal the outside angle of the third angle?

• Because they are equal

• Because they sum to 180 degrees

• Because they are complementary

• Because they are supplementary