Angles of Polygons REvie

Front

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

Back

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

Front

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

Back

To find the unknown angle, subtract the sum of the known angles from 360 degrees.

Front

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

Back

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

Front

How do you find the number of sides of a polygon given one exterior angle?

Back

The number of sides (n) can be found using the formula n = 360° / exterior angle.

Front

What is the measure of each exterior angle of a regular polygon with 12 sides?

Back

Each exterior angle of a regular polygon with 12 sides is 30 degrees.

Front

If a polygon has an interior angle sum of 1080 degrees, how many sides does it have?

Back

The polygon has 8 sides.

Front

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

Back

The interior angle and exterior angle at each vertex of a polygon are supplementary, meaning they add up to 180 degrees.

Front

What is the measure of an interior angle of a regular pentagon?

Back

Each interior angle of a regular pentagon measures 108 degrees.

Front

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

Back

In a triangle, the sum of the interior angles is always 180 degrees. Subtract the sum of the known angles from 180 degrees to find the unknown angle.

Front

What is the measure of the unknown angle in a quadrilateral with angles measuring 90°, 80°, and 74°?

Back

The unknown angle measures 116°.