Triangle Sum Theorem and Exterior Angle Theorem

Front

What does the Triangle Sum Theorem state?

Back

The Triangle 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

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

Back

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

Front

If two angles in a triangle are 45° and 75°, what is the measure of the third angle?

Back

60°

Front

What is the measure of an angle that is complementary to a 45° angle?

Back

45° (since complementary angles sum to 90°).

Front

If one angle of a triangle is 80° and the other two angles are equal, what are the measures of the other two angles?

Back

Each of the other two angles measures 50°.

Front

What is the value of x if the angles in a triangle are x, 40°, and 100°?

Back

x = 40°.

Front

Define remote interior angles in relation to an exterior angle.

Back

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

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is 180°.

Front

If angle A = 30° and angle B = 60°, what is angle C?

Back

Angle C = 90°.