Understanding Exterior Angles

What is the measure of an exterior angle if the two remote interior angles are 50° and 60°?

• 130°

• 70°

• 110°

• 90°

If one exterior angle of a triangle is 120°, what are the measures of the two remote interior angles?

• 60°, 60° or 90°, 30°

• 120°, 0°

• 45°, 75°

• 30°, 90°

In triangle ABC, if angle A = 40° and angle B = 70°, what is the measure of the exterior angle at vertex C?

• 90°

• 130°

• 100°

• 110°

How do you calculate the measure of an exterior angle of a triangle?

• The measure of an exterior angle is equal to the measure of the adjacent interior angle.

• The measure of an exterior angle is half the sum of all three interior angles.

• The measure of an exterior angle is the sum of the two opposite interior angles.

• The measure of an exterior angle is the difference between the two adjacent interior angles.

If the exterior angle of a triangle is 150°, what is the sum of the two remote interior angles?

• 180°

• 150°

• 90°

• 120°

In triangle XYZ, if angle X is 30° and angle Y is 50°, what is the measure of the exterior angle at vertex Z?

• 80°

• 60°

• 70°

• 90°

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

• The exterior angle is equal to the adjacent interior angle.

• The exterior angle is half the sum of the two opposite interior angles.

• The exterior angle is equal to the sum of the two opposite interior angles.

• The exterior angle is always greater than the adjacent interior angle.

If the exterior angle is 90°, what can you say about the measures of the two remote interior angles?

• The measures of the two remote interior angles sum to 180°.

• The measures of the two remote interior angles are equal.

• The measures of the two remote interior angles sum to 45°.

• The measures of the two remote interior angles sum to 90°.

How many exterior angles does a triangle have, and what is their relationship to the interior angles?

• 3 interior angles

• 4 exterior angles

• 2 exterior angles

• 3 exterior angles

If one of the exterior angles of a triangle is 75°, what is the maximum possible measure of the corresponding interior angle?

• 60°

• 90°

• 45°

• 75°