Angles of Polygons

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regular

A _____ polygon has all congruent sides and congruent angles.

polygon

A many sided figure is called a _____.

congruent

A regular polygon has _____ sides and angles.

linear pair

Along each side of polygons, together each interior and exterior angle forms a _____.

15°

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

6.32°

Find the measure of one exterior angle in a regular 57-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

45°

Find the measure of one exterior angle in a regular octagon

360/n

How do you find the measure of each exterior angle of a regular polygon?

(n-2)*180/n

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

360/n

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

(n-2)*180

How do you find the sum of the interior angles of any convex polygon?

45°

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

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°

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

20

If the central angle of a regular polygon is 18°, how many sides does it have?

24°

If the central angle of a regular polygon is 24°, what is the measure of its exterior angle?

If the central angle of a regular polygon is 2°, what is the measure of its exterior angle?

10

If the central angle of a regular polygon is 36°, how many sides does it have?

9

If the central angle of a regular polygon is 40°, how many sides does it have?

8

If the central angle of a regular polygon is 45°, how many sides does it have?

5

If the central angle of a regular polygon is 72°, how many sides does it have?

90°

If the central angle of a regular polygon is 90°, what is the measure of its exterior angle?

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?

supplementary

The interior angles and exterior angles of a regular polygon are _______.

360°

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

always

The sum of the exterior angles of ANY polygon is _____ 360 degrees.

8

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

9

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

10

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

11

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

12

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

7

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

30°

What is the central angle of a regular 12-gon?

18°

What is the central angle of a regular 20-gon?

60°

What is the central angle of a regular hexagon?

120°

What is the central angle of a regular triangle?

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?

135°

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

90°

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

60°

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

360°

What is the sum of the exterior angles in a regular 240-gon?

360°

What is the sum of the exterior angles of a convex 100-gon?

360°

What is the sum of the exterior angles of a convex heptagon?

1440°

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

900°

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

720°

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

1260°

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

1080°

What is the sum of the interior angles in a convex octagon?

540°

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

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 11-gon?

Exterior angles

_____ are formed by extending each side of a polygon in the same direction. (looks like a pinwheel)


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