http://www.ck12.org Chapter 6. Polygons and Quadrilaterals
TABLE6.2:
# of sides Sum of the Interior An-
glesMeasure of Each Inte-
rior Angle in a Regular
n−gon
3 60 ◦
4 360 ◦
5 540 ◦ 108 ◦
6 120 ◦
7
8
9
10
11
12- What is the sum of the angles in a 15-gon?
- What is the sum of the angles in a 23-gon?
- The sum of the interior angles of a polygon is 4320◦. How many sides does the polygon have?
- The sum of the interior angles of a polygon is 3240◦. How many sides does the polygon have?
- What is the measure of each angle in a regular 16-gon?
- What is the measure of each angle in an equiangular 24-gon?
- Each interior angle in a regular polygon is 156◦. How many sides does it have?
- Each interior angle in an equiangular polygon is 90◦. How many sides does it have?
For questions 10-18, find the value of the missing variable(s).
10.
11.
12.
13.
14.
15.
16.
17.
18.- The interior angles of a hexagon arex◦,(x+ 1 )◦,(x+ 2 )◦,(x+ 3 )◦,(x+ 4 )◦,and(x+ 5 )◦.What isx?