Triangle Angle Sum and Triangle Exterior Angle

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 are the remote interior angles of an exterior angle in a triangle?

Back

The remote interior angles are the two angles in the triangle that are not adjacent to the exterior angle.

Front

If one angle of a triangle measures 45°, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles is 135°, since their sum must equal 135° to maintain the total of 180°.

Front

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

Back

To find the measure of an unknown angle in a triangle, subtract the sum of the known angles from 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 the relationship between the exterior angle and the remote interior angles?

Back

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

Front

If angle A measures 30° and angle B measures 50°, what is the measure of angle C in triangle ABC?

Back

Angle C measures 100°, since 180° - (30° + 50°) = 100°.

Front

What is the formula for finding the sum of the angles in a triangle?

Back

The formula is: Angle 1 + Angle 2 + Angle 3 = 180°.

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 determine if a triangle is valid based on its angles?

Back

A triangle is valid if the sum of its interior angles equals 180°.