Exterior Angles and Remote Interior Angles

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

Define remote interior angles.

Back

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

Front

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

Back

The measure of an exterior angle is equal to the sum of the measures of its remote interior angles.

Front

If angle A is 50° and angle B is 70°, what is the measure of the exterior angle C?

Back

The measure of exterior angle C is 120° (50° + 70°).

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180°.

Front

If angle D is an exterior angle and measures 130°, what are the measures of the remote interior angles?

Back

The sum of the remote interior angles must be 130°.

Front

How do you find the measure of an exterior angle if you know the remote interior angles?

Back

Add the measures of the two remote interior angles together.

Front

What is the measure of angle 2 if angle 1 is 90° and angle 3 is 72°?

Back

Angle 2 measures 90° + 72° = 162°.

Front

What is the formula to calculate the measure of an exterior angle?

Back

Exterior angle = Remote interior angle 1 + Remote interior angle 2.

Front

If angle E is 40° and angle F is 60°, what is the measure of the exterior angle G?

Back

The measure of exterior angle G is 100° (40° + 60°).