Interior and Exterior Triangle Angles

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 degrees.

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 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

How do you calculate the measure of an exterior angle?

Back

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 measures 110 degrees, what is the maximum measure of the other two angles?

Back

The maximum measure of the other two angles combined must be 70 degrees, since the sum of all angles in a triangle is 180 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, and it is supplementary to the adjacent interior angle.

Front

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

Back

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

Front

How do you find the measure of an unknown angle in a triangle?

Back

To find the measure of an unknown angle in a triangle, subtract the sum of the known angles from 180 degrees.

Front

What is the formula for finding the measure of an angle in a triangle when given the other two angles?

Back

The formula is: Measure of unknown angle = 180 - (Measure of angle 1 + Measure of angle 2).

Front

What is the definition of an angle in geometry?

Back

An angle is formed by two rays (sides) that share a common endpoint (vertex).