Basic definitions
Sum of Angles
Finding Unknown Angles
Application Porblems
Challenging Problems
100

The sum of the measures of the exterior angles, one at each vertex, of any polygon.

What is 360

100

The sum of the interior angles of a triangle.

What is 180?

100

The measure of each interior angle in a regular pentagon.

What is 108?

100

A quadrilateral has one angle of 90 and two angles of 110 each. What is the measure of the fourth angle?

What is 50?

100

The sum of the measures of the interior angles of a polygon is twice the sum of the measures of its exterior angles. How many sides does it have?

What is 6?

200

The term for a polygon whose sides and angles are all equal.

What is a regular polygon?

200

The sum of the interior angles of a hexagon.

What is 720?

200

The measure of each exterior angle in a regular decagon.

What is 36? 

200

 A regular polygon has exterior angles measuring
 45 each. How many sides does it have? 

What is 8?

200

 If each exterior angle of a regular polygon is
 15, how many sides does it have? 

What is 24?

300

The name for an angle formed between one side of a polygon and the extension of its adjacent side.

What is an exterior angle?

300

The sum of the interior angles of a decagon.

What is 1 440?

300

If one exterior angle of a regular polygon is 24, how many sides does the polygon have?

What is 15?

300

A regular polygon has 18 sides. What is the measure of each exterior angle?

What is 20?

300

A regular polygon has an interior angle that is 12 times as large as its exterior angle. How many sides does it have?

What is 13?

400

The term for the sum of all the interior angles of a polygon with n sides.

What is (n-2) x 180

400

The sum of the exterior angles of a regular octagon, one at each vertex.

What is 360?

400

If a regular polygon has interior angles measuring 162,  how many sides does it have?

What is 20?

400

The sum of the interior angles of a polygon is
 1 620.How many sides does it have?

What is 11?

400

A regular polygon has an interior angle of 140. . What is the sum of its exterior angles?

What is 360?

500

The number of sides a polygon has if each interior angle measures 120 degrees

What is 6?

500

 The number of sides of a polygon if the sum of its interior angles is 1 260 degrees.

What is 9?

500

A polygon has 12 sides. What is the measure of each interior angle?

What is 150?

500

If the sum of the measures of the interior angles of a polygon is 1 980, what is the measure of each interior angle if the polygon is regular?

What is 165?

500

The sum of the measures of the interior angles of a polygon is 2 700. How many diagonals does this polygon have?

What is 15?

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