Exterior Angles and Triangle Properties

This lesson, led by Mr. Holcomb, covers the concept of exterior and remote interior angles in triangles. It includes explanations, examples, and exercises to help students understand how to identify and calculate these angles. The lesson demonstrates that the measure of an exterior angle is equal to the sum of its remote interior angles, providing multiple examples and practice problems to reinforce this concept.

What is an exterior angle in a triangle?

• An angle inside the triangle

• An angle formed by extending a side of the triangle

• An angle that is always 90 degrees

• An angle that is equal to the sum of the other two angles

Which of the following is a remote interior angle?

• An angle adjacent to the exterior angle

• An angle opposite to the exterior angle

• An angle that forms a straight line with the exterior angle

• An angle that is equal to the exterior angle

How can you prove that an exterior angle is equal to the sum of its remote interior angles?

• By using the triangle sum theorem

• By measuring the angles directly

• By assuming all angles are equal

• By using the Pythagorean theorem

If an exterior angle is 120 degrees and one remote interior angle is 45 degrees, what is the measure of the other remote interior angle?

• 75 degrees

• 65 degrees

• 55 degrees

• 85 degrees

In a triangle, if one angle is 30 degrees and another is 60 degrees, what is the measure of the exterior angle at the third vertex?

• 180 degrees

• 150 degrees

• 120 degrees

• 90 degrees

What is the sum of the interior angles of a triangle?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

If the exterior angle is 150 degrees, and one remote interior angle is 70 degrees, what is the measure of the other remote interior angle?

• 50 degrees

• 60 degrees

• 80 degrees

• 40 degrees

Which theorem states that the sum of the interior angles of a triangle is 180 degrees?

• Triangle sum theorem

• Pythagorean theorem

• Remote interior angle theorem

• Exterior angle theorem

If two angles in a triangle are 45 degrees and 55 degrees, what is the measure of the third angle?

• 80 degrees

• 70 degrees

• 50 degrees

• 60 degrees

What is the relationship between an exterior angle and its remote interior angles?

• The exterior angle is half the sum of the remote interior angles

• The exterior angle is equal to the sum of the remote interior angles

• The exterior angle is twice the sum of the remote interior angles

• The exterior angle is unrelated to the remote interior angles