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 polygon?

Back

To find the measure of an unknown angle in a polygon, use the formula: Sum of interior angles = (n-2) * 180°, where n is the number of sides.

Front

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

Back

The measure of one interior angle of a regular octagon is 135 degrees.

Front

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

Back

The measure of one exterior angle of a regular polygon is 360° divided by the number of sides.

Front

If one angle of a quadrilateral is 90°, and the other three angles are 80°, 74°, and x°, what is the value of x?

Back

x = 116°.

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°.

Front

How many sides does a polygon have if the measure of one exterior angle is 30°?

Back

The polygon has 12 sides.

Front

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

Back

The formula is (n-2) * 180°, where n is the number of sides.

Front

If a quadrilateral has angles measuring 60°, 75°, 120°, and x°, what is the value of x?

Back

x = 105°.

Front

What is the measure of one exterior angle of a hexagon?

Back

The measure of one exterior angle of a hexagon is 60°.