Exploring Exterior Angles and Remote Interior Angles

What has intrigued you since you were a little kid?

• The Bermuda Triangle

• The Pacific Ocean

• The Sahara Desert

• The Amazon Rainforest

What do you need to find before steering the ship?

• The distance to the Bermuda Triangle

• The speed of the ship

• The depth of the ocean

• The measure of the angle made by the ship, Miami, and San Juan

What is an exterior angle in a triangle?

• An angle formed by two intersecting lines

• An angle at the center of the triangle

• An angle inside the triangle

• An angle formed by extending one of the sides of the triangle

What are the two angles inside the triangle and opposite from the exterior angle called?

• Adjacent angles

• Remote interior angles

• Supplementary angles

• Complementary angles

What does the Exterior Angle Theorem state?

• The measure of an exterior angle equals the sum of its two remote interior angles

• The measure of an exterior angle equals the difference of its two remote interior angles

• The measure of an exterior angle equals the product of its two remote interior angles

• The measure of an exterior angle equals the quotient of its two remote interior angles

What are the measures of the two remote interior angles in the problem?

• 50 degrees and 70 degrees

• 30 degrees and 60 degrees

• 45 degrees and 90 degrees

• 62 degrees and 85 degrees

What is the measure of the exterior angle in the problem?

• 120 degrees

• 147 degrees

• 180 degrees

• 90 degrees