Angles of Polygons

regular

A _____ polygon has all congruent sides and congruent angles.

congruent

A regular polygon has _____ sides and angles.

15°

Find the measure of one exterior angle in a regular 24-gon

36°

Find the measure of one exterior angle in a regular decagon

51.43°

Find the measure of one exterior angle in a regular heptagon

40°

Find the measure of one exterior angle in a regular nonagon

120°

How many degrees is each exterior angle of a regular triangle?

135°

How many degrees is each interior angle of a regular octagon?

60°

If the exterior angle of a regular polygon is 120°, what is the measure of its interior angle?

45°

If the exterior angle of a regular polygon is 135°, what is the measure of its interior angle?

128.57°

If the exterior angle of a regular polygon is 51.43°, what is the measure of its interior angle?

number of sides

In the formula, (n-2)*180, what does "n" stand for?

360°

The sum of the exterior angles of ANY polygon is always _____.

8

The sum of the interior angles of a polygon is 1080 degrees. How many sides does it have?

9

The sum of the interior angles of a polygon is 1260 degrees. How many sides does it have?

10

The sum of the interior angles of a polygon is 1440 degrees. How many sides does it have?

11

The sum of the interior angles of a polygon is 1620 degrees. How many sides does it have?

12

The sum of the interior angles of a polygon is 1800 degrees. How many sides does it have?

7

The sum of the interior angles of a polygon is 900 degrees. How many sides does it have?

150°

What is the measure of one interior angle in a regular 12-gon?

154.29°

What is the measure of one interior angle in a regular 14-gon?

166.67°

What is the measure of one interior angle in a regular 27-gon?

90°

What is the measure of one interior angle in a regular quadrilateral?

1440°

What is the sum of the interior angles in a decagon?

900°

What is the sum of the interior angles in a heptagon?

1260°

What is the sum of the interior angles in a nonagon?

1080°

What is the sum of the interior angles in an octagon?

1800°

What is the sum of the interior angles of 12-gon?

4140°

What is the sum of the interior angles of 25-gon?

11700°

What is the sum of the interior angles of 67-gon?

720°

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

540°

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

1620°

What is the sum of the interior angles of an undecagon?