Exterior and Remote angles of a triangle

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 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 remote interior angles.

Front

Define remote interior angles in relation to an exterior angle.

Back

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

Front

If angle d is an exterior angle, which angles can be added to find its measure?

Back

The measures of the two remote interior angles can be added to find the measure of angle d.

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, but it is not equal to the adjacent interior angle.

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 to find the measure of the exterior angle.

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

If angle a = 30° and angle b = 50°, what is the measure of the exterior angle formed at angle c?

Back

The measure of the exterior angle at angle c is 30° + 50° = 80°.

Front

What is the definition of an interior angle of a triangle?

Back

An interior angle of a triangle is formed by two sides of the triangle and is located inside the triangle.

Front

Can an exterior angle be greater than 180 degrees?

Back

No, an exterior angle of a triangle cannot be greater than 180 degrees.