Triangle Sum and Exterior Angle Theorem

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

If one angle of a triangle is 90 degrees, what type of triangle is it?

Back

It is a right triangle.

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

What is the relationship between an exterior angle and the two remote interior angles?

Back

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

Front

If the angles of a triangle are 50 degrees and 80 degrees, what is the measure of the third angle?

Back

The third angle measures 50 degrees (180 - 50 - 80 = 50).

Front

What is a remote interior angle?

Back

A remote interior angle is an interior angle of a triangle that is not adjacent to a given exterior angle.

Front

How do you find the measure of a missing angle in a triangle?

Back

Subtract the sum of the known angles from 180 degrees.

Front

What is the measure of an angle if the other two angles are 70 degrees and 40 degrees?

Back

The measure of the angle is 70 degrees (180 - 70 - 40 = 70).

Front

What is the measure of an exterior angle if the remote interior angles are 30 degrees and 50 degrees?

Back

The exterior angle measures 80 degrees (30 + 50 = 80).

Front

If angle A is 63 degrees and angle B is 117 degrees, what is angle C in triangle ABC?

Back

Angle C measures 0 degrees (63 + 117 = 180).