Polygon Angle Sum Formula

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Show your work for each problem.

1.
What is the sum of the interior angles of a triangle?
1. a)
2. b)
3. c)
4. d)
2.
What is the sum of the interior angles of a quadrilateral?
1. a)
2. b)
3. c)
4. d)
3.
What is the sum of the interior angles of a hexagon (6 sides)?
4.
Into how many triangles can a pentagon be divided?
5.
What is the formula for the sum of interior angles of a polygon with sides?
1. a)
2. b)
3. c)
4. d)
6.
What is the sum of the interior angles of an octagon (8 sides)?
7.
A quadrilateral has angles of , , and . What is the fourth angle?
8.
What is the measure of each interior angle in a regular pentagon?
9.
What is the measure of each interior angle in a regular octagon?
10.
A polygon has an interior angle sum of . How many sides does it have?
1. a)12
2. b)9
3. c)10
4. d)8
11.
A pentagon has angles of , , , and . What is the fifth angle?
12.
What is the measure of each interior angle in a regular 12-sided polygon (dodecagon)?
13.
A regular polygon has interior angles of each. How many sides does it have?
14.
As a regular polygon gets more and more sides, each interior angle approaches what value?
1. a)
2. b)
3. c)
4. d)
15.
A hexagon has five angles measuring , , , , and . What is the sixth angle?