Exterior Angles in Triangles

The video tutorial covers angle relationships in triangles, focusing on the sum of interior angles and the exterior angle theorem. It explains that the sum of the interior angles of a triangle is always 180 degrees. The exterior angle theorem is demonstrated, showing that an exterior angle equals the sum of the two non-adjacent interior angles. Various examples and calculations are provided to illustrate these concepts, reinforcing the understanding of angle relationships in triangles.

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

• 90°

• 180°

• 360°

• 270°

If a triangle has angles measuring 60° and 70°, what is the measure of the third angle?

• 60°

• 50°

• 80°

• 70°

What happens to the exterior angle when a side of a triangle is extended?

• It is always 180°.

• It is always 90°.

• It equals the sum of all interior angles.

• It equals the sum of the two opposite interior angles.

If angle A is 60° and angle B is 70°, what is the measure of the exterior angle D when side BC is extended?

• 60°

• 70°

• 130°

• 180°

In a triangle, if angle C is 50°, what is the measure of the exterior angle F when side AB is extended?

• 50°

• 120°

• 180°

• 130°

What is the relationship between an exterior angle and the two non-adjacent interior angles?

• The exterior angle is double the sum of the two non-adjacent interior angles.

• The exterior angle is half the sum of the two non-adjacent interior angles.

• The exterior angle is equal to one of the non-adjacent interior angles.

• The exterior angle is equal to the sum of the two non-adjacent interior angles.

If angle A is 60° and angle C is 50°, what is the measure of the exterior angle G when side AC is extended?

• 130°

• 140°

• 120°

• 110°

What is the measure of an exterior angle if the two opposite interior angles are 70° and 50°?

• 110°

• 120°

• 130°

• 140°

If angle B is 70° and angle C is 50°, what is the measure of the exterior angle F when side AB is extended?

• 140°

• 120°

• 110°

• 130°

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

• 270°

• 360°

• 540°

• 180°