Interior/Exterior Angle Theorem

Front

What is the Interior Angle Theorem?

Back

The Interior Angle Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

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 opposite interior angles.

Front

If one angle of a triangle is 90 degrees, what is the sum of the other two angles?

Back

The sum of the other two angles is 90 degrees.

Front

What is the measure of each angle in an equilateral triangle?

Back

Each angle in an equilateral triangle measures 60 degrees.

Front

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

Back

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

Front

If two angles of a triangle are 50 degrees and 60 degrees, what is the measure of the third angle?

Back

The third angle measures 70 degrees.

Front

What is the relationship between interior and exterior angles at a vertex of a triangle?

Back

The exterior angle is equal to the sum of the two non-adjacent interior angles.

Front

In a triangle, if one angle measures 40 degrees, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles is 140 degrees (since they must sum to 140 degrees to keep the total at 180 degrees).

Front

What is the formula for calculating the sum of interior angles of a polygon?

Back

The sum of the interior angles of a polygon with n sides is (n-2) * 180 degrees.

Front

How many degrees are in the interior angles of a quadrilateral?

Back

The sum of the interior angles of a quadrilateral is 360 degrees.