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

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

Back

60°

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

According to the Exterior Angle Theorem, how is an exterior angle related to the interior angles?

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 one angle of a triangle is 80° and another is 50°, what is the third angle?

Back

50°

Front

What is the value of k if the angles of a triangle are k, 22°, and 58°?

Back

k = 100°

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 a given exterior angle.

Front

What is the measure of an exterior angle if the remote interior angles are 30° and 50°?

Back

The exterior angle measures 80°.

Front

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

Back

Angle C = 90°.

Front

What is the relationship between corresponding angles when two parallel lines are cut by a transversal?

Back

Corresponding angles are equal when two parallel lines are cut by a transversal.