Angles in a Polygon

Front

What is the sum of the interior angles of a polygon with n sides?

Back

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

Front

How do you find the measure of each interior angle of a regular polygon?

Back

To find the measure of each interior angle of a regular polygon, use the formula: (n - 2) × 180 / n, where n is the number of sides.

Front

What is the measure of each interior angle of a regular octagon?

Back

Each interior angle of a regular octagon measures 135 degrees.

Front

What is the sum of the interior angles of a pentagon?

Back

The sum of the interior angles of a pentagon is 540 degrees.

Front

What is the sum of the interior angles of a heptagon?

Back

The sum of the interior angles of a heptagon is 900 degrees.

Front

If one angle of a triangle is 50 degrees and another is 60 degrees, what is the measure of the third angle?

Back

The third angle measures 70 degrees.

Front

What is the measure of each exterior angle of a regular polygon?

Back

The measure of each exterior angle of a regular polygon is 360 / n, where n is the number of sides.

Front

How do you find a missing angle in a polygon?

Back

To find a missing angle in a polygon, subtract the sum of the known angles from the total sum of the interior angles.

Front

What is the relationship between interior and exterior angles of a polygon?

Back

The interior and exterior angles of a polygon are supplementary, meaning they add up to 180 degrees.

Front

What is the measure of each interior angle of a regular hexagon?

Back

Each interior angle of a regular hexagon measures 120 degrees.