Exploring Interior and Exterior Angles of Triangles

This video tutorial covers the concepts of interior and exterior angles of a triangle. It defines these angles, explains their properties, and demonstrates how to calculate them through example problems. The video also discusses theorems related to exterior angles, including the sum of exterior angles and the exterior angle theorem, which states that the sum of the remote interior angles equals the non-adjacent exterior angle.

What are the interior angles of a triangle?

• Angles outside the triangle

• Angles inside the triangle formed by its sides

• Angles formed by extending the sides of the triangle

• Angles that are always 90 degrees

What is a vertex in a triangle?

• The midpoint of a side

• The point where two sides meet

• The longest side of the triangle

• The angle opposite the longest side

How are exterior angles of a triangle formed?

• By bisecting the interior angles

• By connecting the midpoints of the sides

• By drawing a circle around the triangle

• By extending the sides of a triangle

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

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

If an exterior angle of a triangle is 138 degrees, what is the measure of its adjacent interior angle?

• 180 degrees

• 138 degrees

• 52 degrees

• 42 degrees

If the interior angles of a triangle are 50 degrees and 60 degrees, what is the measure of the third interior angle?

• 90 degrees

• 80 degrees

• 70 degrees

• 100 degrees

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

• 180 degrees

• 270 degrees

• 540 degrees

• 360 degrees

What are remote angles in a triangle?

• Angles that form a right angle

• Angles not adjacent to the specific exterior angle

• Angles adjacent to the exterior angle

• Angles that are always equal

According to the exterior angle theorem, the measure of an exterior angle is equal to:

• The product of the interior angles

• The sum of the remote interior angles

• The difference between the interior angles

• The sum of the adjacent interior angles

If the measure of an exterior angle is 120 degrees, what is the sum of the two remote interior angles?

• 60 degrees

• 120 degrees

• 180 degrees

• 240 degrees