Exterior Angle Theorem

Front

What is the Exterior Angle Theorem?

Back

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

How do you calculate the exterior angle of a triangle?

Back

To calculate the exterior angle, add the measures of the two opposite interior angles.

Front

If one interior angle of a triangle is 40° and another is 60°, what is the measure of the exterior angle?

Back

The exterior angle is 40° + 60° = 100°.

Front

What is the relationship between interior and exterior angles in a triangle?

Back

The sum of the measures of the interior angles of a triangle is always 180°, and each exterior angle is equal to the sum of the two opposite interior angles.

Front

If an exterior angle measures 130°, what are the possible measures of the two opposite interior angles?

Back

The two opposite interior angles must sum to 130°.

Front

What is the sum of the exterior angles of any polygon?

Back

The sum of the exterior angles of any polygon is always 360°, regardless of the number of sides.

Front

How can the Exterior Angle Theorem be applied to solve for unknown angles in a triangle?

Back

By using the theorem, you can set up equations based on the relationship between the exterior angle and the two opposite interior angles to find unknown values.

Front

If one exterior angle of a triangle is 110°, what is the sum of the two non-adjacent interior angles?

Back

The sum of the two non-adjacent interior angles is 110°.

Front

In a triangle, if one angle is 50° and another is 70°, what is the measure of the exterior angle adjacent to the 70° angle?

Back

The exterior angle is 50° + 70° = 120°.

Front

What is the formula to find an unknown interior angle using the Exterior Angle Theorem?

Back

If 'E' is the exterior angle and 'A' and 'B' are the opposite interior angles, then A + B = E.