Angles of Polygons Review
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