Triangle Sum and Exterior Angle Theorems

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

What are the exterior angles of a triangle?

Back

Exterior angles are 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 remote interior angles?

Back

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

Front

If one angle of a triangle is 59° and another is 51°, what is the measure of the third angle?

Back

The third angle is 70°, calculated as 180° - (59° + 51°).

Front

How do you set up an equation to find an unknown angle in a triangle?

Back

Set up the equation as x + angle1 + angle2 = 180°, where x is the unknown angle.

Front

What are remote interior angles in relation to an exterior angle?

Back

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

Front

If an exterior angle measures 84°, what is the sum of the remote interior angles?

Back

The sum of the remote interior angles is 84°, as the exterior angle equals their sum.

Front

What is the formula to find the measure of an unknown angle in a triangle?

Back

The formula is x = 180° - (angle1 + angle2).

Front

If angle A = 30° and angle B = 110°, what is angle C?

Back

Angle C = 40°, calculated as 180° - (30° + 110°).

Front

What is the measure of an angle if the other two angles in a triangle are 45° and 85°?

Back

The measure of the angle is 50°, calculated as 180° - (45° + 85°).