Exploring Angles in Triangles

This video tutorial explains the concepts of interior and exterior angles in triangles. It covers how to identify and draw exterior angles, discusses the properties of supplementary angles, and explores the theorem that the sum of interior angles in a triangle is 180°. Additionally, it explains the exterior angle theorem, which states that an exterior angle is equal to the sum of the two non-adjacent interior angles.

What are the angles inside a triangle called?

• Exterior angles

• Supplementary angles

• Interior angles

• Adjacent angles

How do you create an exterior angle of a triangle?

• By drawing a perpendicular line from a vertex

• By extending one side of the triangle

• By bisecting an interior angle

• By drawing a line inside the triangle

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

• They are complementary

• They are congruent

• They are equal

• They are supplementary

What do you call angles that share a common vertex and a common side?

• Complementary angles

• Adjacent angles

• Alternate angles

• Vertical angles

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

• 90 degrees

• 270 degrees

• 180 degrees

• 360 degrees

If angle A is 60 degrees and angle B is 50 degrees, what is angle C in a triangle?

• 80 degrees

• 70 degrees

• 90 degrees

• 100 degrees

Which of the following statements is true about the interior angles of a triangle?

• They add up to 180 degrees

• They are complementary

• They are supplementary

• They are always equal

What is the measure of an exterior angle of a triangle equal to?

• The sum of the measures of the two adjacent interior angles

• The sum of the measures of the two non-adjacent interior angles

• The difference between the measures of the two adjacent interior angles

• The difference between the measures of the two non-adjacent interior angles

If angle A is 40 degrees and angle B is 70 degrees, what is the measure of the exterior angle adjacent to angle C?

• 30 degrees

• 130 degrees

• 110 degrees

• 120 degrees

If the exterior angle of a triangle is 120 degrees, what is the sum of the two non-adjacent interior angles?

• 60 degrees

• 90 degrees

• 120 degrees

• 150 degrees