interior and exterior angles in a triangle

Front

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

Back

180 degrees

Front

What is an exterior angle of a triangle?

Back

An exterior angle is formed by one side of the triangle and the extension of an adjacent side.

Front

How do you calculate the measure of an exterior angle?

Back

The measure of an exterior angle is equal to the sum of the measures of the two remote interior angles.

Front

If one angle of a triangle measures 70 degrees, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles is 110 degrees (since 180 - 70 = 110).

Front

What are remote interior angles?

Back

Remote interior angles are the two angles inside the triangle that are not adjacent to a given exterior angle.

Front

If angle A is 40 degrees and angle B is 60 degrees, what is the measure of angle C in triangle ABC?

Back

Angle C measures 80 degrees (180 - 40 - 60 = 80).

Front

What is the relationship between interior and exterior angles in a triangle?

Back

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

Front

In triangle XYZ, if angle X is 50 degrees and angle Y is 70 degrees, what is angle Z?

Back

Angle Z is 60 degrees (180 - 50 - 70 = 60).

Front

What is the measure of an angle if its exterior angle is 120 degrees?

Back

The interior angle is 60 degrees (180 - 120 = 60).

Front

If angle D is 90 degrees, what can you say about the other two angles in triangle DEF?

Back

The other two angles must be acute and their measures must add up to 90 degrees.