Triangle Angle Sum and Remote Angles

Front

What is the Triangle Angle Sum Theorem?

Back

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

Front

What is an exterior angle of a triangle?

Back

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

Front

State the Exterior Angle Theorem.

Back

The Exterior Angle Theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles.

Front

If angle A = 62° and angle B = 54°, what is angle C?

Back

Angle C = 180° - (62° + 54°) = 64°.

Front

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

Back

To find a missing angle, subtract the sum of the known angles from 180°.

Front

What is the measure of the angles in a right triangle?

Back

In a right triangle, one angle measures 90°, and the sum of the other two angles is 90°.

Front

If one angle of a triangle is 90° and another is 50°, what is the third angle?

Back

The third angle = 180° - (90° + 50°) = 40°.

Front

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

Back

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

Front

If angle A is 116°, what is the measure of the exterior angle at vertex A?

Back

The exterior angle at vertex A = 180° - 116° = 64°.

Front

What is the formula to calculate the sum of angles in a triangle?

Back

Sum of angles in a triangle = angle A + angle B + angle C = 180°.