Writing and Solving Equations with Complementary and Supplementary Angles

This lesson teaches how to write and solve equations using complementary and supplementary angles. It begins with a review of right angles and their properties, followed by an explanation of complementary angles that sum to 90 degrees and supplementary angles that sum to 180 degrees. The Leaning Tower of Pisa is used as an example to demonstrate how to calculate missing angles. The lesson concludes with solving equations for missing angles using the properties of complementary and supplementary angles.

What is the sum of complementary angles?

• 360 degrees

• 180 degrees

• 45 degrees

• 90 degrees

If angle ABD is 30 degrees, what is the measure of angle DBC if they are complementary?

• 90 degrees

• 150 degrees

• 30 degrees

• 60 degrees

What angle does the Leaning Tower of Pisa lean if the angle to the street is 84.5 degrees?

• 84.5 degrees

• 5.5 degrees

• 90 degrees

• 95.5 degrees

What is the sum of supplementary angles?

• 45 degrees

• 90 degrees

• 180 degrees

• 360 degrees

If the angle between the street and the building is 84.5 degrees, what is the angle on the opposite side using supplementary angles?

• 95.5 degrees

• 84.5 degrees

• 180 degrees

• 90 degrees