Interior/Exterior Angles of Triangles

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. It is equal to the sum of the two remote interior angles.

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 its adjacent interior angle.

Front

How do you calculate the measure of an exterior angle if you know the measures of the two remote interior angles?

Back

To find the measure of an exterior angle, add the measures of the two remote interior angles.

Front

What are 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 the exterior angle.

Front

If one interior angle of a triangle measures 40 degrees and another measures 60 degrees, what is the measure of the exterior angle adjacent to the 40-degree angle?

Back

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

Front

What is the sum of the measures of the exterior angles of a triangle?

Back

The sum of the measures of the exterior angles of a triangle is always 360 degrees.

Front

What is the measure of angle b if angle a is 36 degrees and angle c is 108 degrees?

Back

Angle b is 36 degrees, as it is the exterior angle formed by extending the side opposite angle a.

Front

Define the term 'interior angle' in the context of triangles.

Back

An interior angle of a triangle is an angle formed by two sides of the triangle that lies within the triangle.

Front

What is the formula for finding the sum of the interior angles of a triangle?

Back

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

Front

If angle d is an exterior angle, what can be said about angles a and b if they are the remote interior angles?

Back

Angle d is equal to the sum of angles a and b.