Geometry - Angles of Polygons & Parallelograms

Front

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

Back

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

Front

How many degrees are in each interior angle of a regular polygon with 12 sides?

Back

Each interior angle of a regular 12-gon is 150 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 given by the formula: 360 degrees / n, where n is the number of sides.

Front

If the measure of one interior angle of a regular n-gon is 160 degrees, what is the measure of one exterior angle?

Back

The measure of one exterior angle is 20 degrees.

Front

What does 'n' represent in the Polygon Interior Angle Sum Theorem?

Back

In the Polygon Interior Angle Sum Theorem, 'n' represents the number of sides of the polygon.

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Front

What is the relationship between the interior angles of a parallelogram?

Back

In a parallelogram, opposite angles are equal, and adjacent angles are supplementary (sum to 180 degrees).

Front

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

Back

To find an unknown angle in a parallelogram, use the fact that opposite angles are equal and adjacent angles are supplementary.

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

If one angle of a parallelogram is 70 degrees, what are the measures of the other three angles?

Back

The opposite angle is also 70 degrees, and the adjacent angles are each 110 degrees.