Exterior Angles Theorem Flashcard

Front

What is an exterior angle in a triangle?

Back

An exterior angle is formed by one side of a triangle and the extension of an adjacent side. It is equal to the sum of the two remote interior angles.

Front

What does the Triangle Sum Theorem state?

Back

The Triangle Sum Theorem states that the sum of all interior angles in a triangle is always 180 degrees.

Front

What is the measure of the interior angles in a triangle?

Back

The measure of the interior angles in a triangle is always 180 degrees.

Front

What is a remote interior angle?

Back

A remote interior angle is an interior angle of a triangle that is not adjacent to a given exterior angle.

Front

If one angle of a triangle measures 66° and another measures 48°, what is the measure of the third angle?

Back

66° + 48° + x = 180°; x = 66°.

Front

What is the relationship between an exterior angle and its adjacent interior angle?

Back

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

Front

If ∠d is an exterior angle, what are the remote interior angles?

Back

The remote interior angles are the two angles inside the triangle that are not adjacent to ∠d.

Front

Solve for x if the exterior angle is 115° and one remote interior angle is 66°. What is the other remote interior angle?

Back

115° = 66° + x; x = 49°.

Front

What is the measure of an angle if it is complementary to 45°?

Back

The measure of the angle is 45°.

Front

What is the measure of an angle if it is supplementary to 90°?

Back

The measure of the angle is 90°.