Triangle Exterior Angle Theorem

Front

What is the Triangle Exterior Angle Theorem?

Back

The Triangle 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 remote interior angles.

Front

How do you identify remote interior angles in a triangle?

Back

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

Front

If one exterior angle measures 120 degrees, what is the sum of the remote interior angles?

Back

The sum of the remote interior angles would be 120 degrees.

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, not the adjacent interior angle.

Front

How can you use the Triangle Exterior Angle Theorem to find the value of x in a triangle?

Back

Set the exterior angle equal to the sum of the two remote interior angles and solve for x.

Front

What are the measures of the interior angles of a triangle?

Back

The measures of the interior angles of a triangle always add up to 180 degrees.

Front

If angle d is an exterior angle, how do you find its remote interior angles?

Back

Identify the two interior angles that are not adjacent to angle d.

Front

What is the formula for finding the measure of an exterior angle?

Back

The measure of an exterior angle = measure of remote interior angle 1 + measure of remote interior angle 2.

Front

Can an exterior angle be less than either of its remote interior angles?

Back

No, an exterior angle is always greater than either of its remote interior angles.

Front

What is the significance of the Triangle Exterior Angle Theorem in solving problems?

Back

It provides a method to relate exterior angles to interior angles, which can simplify solving for unknown angles.