CK-12 Geometry-Concepts

(Marvins-Underground-K-12) #1

6.1. Interior Angles in Convex Polygons http://www.ck12.org


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  1. 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


  1. What is the sum of the angles in a 15-gon?

  2. What is the sum of the angles in a 23-gon?

  3. The sum of the interior angles of a polygon is 4320◦. How many sides does the polygon have?

  4. The sum of the interior angles of a polygon is 3240◦. How many sides does the polygon have?

  5. What is the measure of each angle in a regular 16-gon?

  6. What is the measure of each angle in an equiangular 24-gon?

  7. Each interior angle in a regular polygon is 156◦. How many sides does it have?

  8. 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.

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