Exterior Angles of Polygons

Name:

Class:

Date:

Show your work for each problem.

1.
What is an exterior angle of a polygon?
1. a)Half of the interior angle
2. b)The angle formed by extending one side past a vertex
3. c)The angle inside the polygon at a vertex
4. d)The angle between two diagonals
2.
What is the sum of all exterior angles of ANY convex polygon?
1. a)
2. b)It depends on the number of sides
3. c)
4. d)
3.
If an interior angle measures , what is the exterior angle at that vertex?
4.
What is the measure of each exterior angle of an equilateral triangle?
5.
What is each exterior angle of a regular pentagon?
6.
A regular polygon has exterior angles of each. What type of polygon is it?
1. a)Heptagon (7 sides)
2. b)Octagon (8 sides)
3. c)Decagon (10 sides)
4. d)Nonagon (9 sides)
7.
What is each exterior angle of a regular decagon (10-sided polygon)?
8.
A triangle has interior angles of , , and . Find all three exterior angles and verify they sum to .
9.
Find each exterior angle of a regular octagon and its corresponding interior angle.
10.
A regular polygon has interior angles of each. How many sides does it have?
11.
Which has a larger exterior angle: a regular hexagon or a regular octagon?
1. a)Octagon ()
2. b)Hexagon ()
3. c)They are equal
4. d)Cannot be determined
12.
In a quadrilateral, three exterior angles are , , and . Find the fourth exterior angle and all four interior angles.
13.
A robot traces a regular polygon path, turning at each corner. How many sides does the polygon have?
14.
The exterior angle of a regular polygon is twice its interior angle. Find the number of sides.
15.
What happens to the exterior angle as a regular polygon gets more and more sides (approaching a circle)?
1. a)Approaches
2. b)Stays at
3. c)Approaches
4. d)Approaches
16.
A pentagon has exterior angles of , , , and . Find the fifth exterior angle and verify by calculating all interior angles.