6.1. Interior Angles in Convex Polygons http://www.ck12.org
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- Fill in the table.
TABLE6.2:
# of sides Sum of the Interior An-
gles
Measure 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).