Interior/Exterior Angles of Polygons and Parallelograms

Front

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

Back

The measure of one exterior angle of a regular polygon can be found using the formula: \( \text{Exterior Angle} = \frac{360°}{n} \), where \( n \) is the number of sides.

Front

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

Back

The measure of one interior angle of a regular polygon can be calculated using the formula: \( \text{Interior Angle} = \frac{(n-2) \times 180°}{n} \), where \( n \) is the number of sides.

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 given by the formula: \( (n-2) \times 180° \).

Front

In a parallelogram, what is true about opposite angles?

Back

In a parallelogram, opposite angles are equal.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

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

Back

Each interior angle in a regular hexagon measures 120°.

Front

If one angle of a parallelogram is 70°, what is the measure of the adjacent angle?

Back

The adjacent angle will measure 110° because adjacent angles in a parallelogram are supplementary.

Front

What is the measure of an exterior angle of a regular decagon?

Back

The measure of one exterior angle of a regular decagon is 36°.

Front

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

Back

The polygon has 12 sides, calculated using the formula: \( n = \frac{360°}{30°} = 12 \).

Front

What is the measure of angle 2 in a parallelogram if angle 1 is 115°?

Back

Angle 2 measures 65° because opposite angles in a parallelogram are equal.