Angles of Polygons Review

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

10

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

1080°

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

11

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

12

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

120°

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

1260°

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

128.57°

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

135°

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

135°

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

1440°

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

9

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

900°

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

90°

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

Exterior angles

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

supplementary

A _____ polygon has all congruent sides and congruent angles.

regular

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

150°

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

154.29°

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

15°

What is the sum of the interior angles of an 11-gon?

1620°

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

166.67°

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

1800°

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

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?

360°

Find the measure of one exterior angle in a regular decagon

36°

Find the measure of one exterior angle in a regular nonagon

40°

Find the measure of one exterior angle in a regular octagon

45°

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

45°

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

45°

Find the measure of one exterior angle in a regular heptagon

51.43°

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

540°

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

540°

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

6.32°

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

60°

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

60°

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

60°

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

7

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

720°

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

720°

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

8

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

always

A regular polygon has _____ sides and angles.

congruent

A many sided figure is called a _____.

polygon


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