Triangle sum theorem 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°.

Front

What is the measure of each angle in an equilateral triangle?

Back

In an equilateral triangle, each angle measures 60°.

Front

What is an exterior angle of a triangle?

Back

An exterior angle is formed by one side of a 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 one angle of a triangle measures 50° and another measures 60°, what is the measure of the third angle?

Back

The third angle measures 70° (180° - 50° - 60° = 70°).

Front

What is the measure of an exterior angle if the two remote interior angles are 40° and 50°?

Back

The exterior angle measures 90° (40° + 50° = 90°).

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180°.

Front

If angle A is 30° and angle B is 70°, what is angle C?

Back

Angle C is 80° (180° - 30° - 70° = 80°).

Front

What do you call an angle that is outside of a triangle?

Back

An angle that is outside of a triangle is called an exterior angle.

Front

What is the measure of angle x if angle y is 45° and angle z is 75°?

Back

Angle x measures 60° (180° - 45° - 75° = 60°).