McDougal Littell Jurgensen Geometry: Student Edition Geometry
McDougal Littell Jurgensen Geometry: Student Edition Geometry
5th Edition
ISBN: 9780395977279
Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Publisher: Houghton Mifflin Company College Division
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Chapter 3.5, Problem 8WE
To determine

ToComplete:The table for regular polygon for the measure of exterior and interior angles.

Expert Solution & Answer
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Answer to Problem 8WE

  Number of sides91530604524180Measure of each ext.40°24°12°6°8°15°2°Measure of each int.140°156°168°174°172°165°178°

Explanation of Solution

Given Information:Consider the table given below.

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 3.5, Problem 8WE

Calculations:

For a polygon having n sides.

The measure of an exterior angle is:

  =360°n

The measure of an interior angle is:

  =(n2)n×180°

In the first column, a polygon has 9 sides.

Here, n=9 .

  ext=360°next=360°9ext=40°

So, the measure of the exterior angle is 40° .

  int=(n2)n×180°int=(92)9×180°int=140°

So, the measure of the interior angle is 140° .

Calculating the number of sides from given interior angle.

  int=178°178°=(n2)n×180°178n=180n360°2n=360°n=180

So, a polygon whose interior angle is 178° , has 180 sides.

Calculating the number of sides from given exteriorangle.

  ext=6°6°=360°n6°×n=360°n=360°6°n=60

So, a polygon whose exterior angle is 6° , has 60 sides.

Similarly, completing the tables.

  Number of sides91530604524180Measure of each ext.40°24°12°6°8°15°2°Measure of each int.140°156°168°174°172°165°178°

Chapter 3 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 3.1 - Prob. 11CECh. 3.1 - Prob. 12CECh. 3.1 - Prob. 13CECh. 3.1 - Prob. 14CECh. 3.1 - Prob. 15CECh. 3.1 - Prob. 16CECh. 3.1 - Prob. 17CECh. 3.1 - Prob. 18CECh. 3.1 - Prob. 19CECh. 3.1 - Prob. 1WECh. 3.1 - Prob. 2WECh. 3.1 - Prob. 3WECh. 3.1 - Prob. 4WECh. 3.1 - Prob. 5WECh. 3.1 - Prob. 6WECh. 3.1 - Prob. 7WECh. 3.1 - Prob. 8WECh. 3.1 - Prob. 9WECh. 3.1 - Prob. 10WECh. 3.1 - Prob. 11WECh. 3.1 - Prob. 12WECh. 3.1 - Prob. 13WECh. 3.1 - Prob. 14WECh. 3.1 - Prob. 15WECh. 3.1 - Prob. 16WECh. 3.1 - Prob. 17WECh. 3.1 - Prob. 18WECh. 3.1 - Prob. 19WECh. 3.1 - Prob. 20WECh. 3.1 - Prob. 21WECh. 3.1 - Prob. 22WECh. 3.1 - Prob. 23WECh. 3.1 - Prob. 24WECh. 3.1 - Prob. 25WECh. 3.1 - Prob. 26WECh. 3.1 - Prob. 27WECh. 3.1 - Prob. 28WECh. 3.1 - Prob. 29WECh. 3.1 - Prob. 30WECh. 3.1 - Prob. 31WECh. 3.1 - Prob. 32WECh. 3.1 - Prob. 33WECh. 3.1 - Prob. 34WECh. 3.1 - Prob. 35WECh. 3.1 - Prob. 36WECh. 3.1 - Prob. 37WECh. 3.1 - Prob. 38WECh. 3.1 - Prob. 39WECh. 3.1 - Prob. 40WECh. 3.1 - Prob. 41WECh. 3.1 - 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Prob. 28WECh. 3.6 - Prob. 1CECh. 3.6 - Prob. 2CECh. 3.6 - Prob. 3CECh. 3.6 - Prob. 4CECh. 3.6 - Prob. 5CECh. 3.6 - Prob. 6CECh. 3.6 - Prob. 1WECh. 3.6 - Prob. 2WECh. 3.6 - Prob. 3WECh. 3.6 - Prob. 4WECh. 3.6 - Prob. 5WECh. 3.6 - Prob. 6WECh. 3.6 - Prob. 7WECh. 3.6 - Prob. 8WECh. 3.6 - Prob. 9WECh. 3.6 - Prob. 10WECh. 3.6 - Prob. 11WECh. 3.6 - Prob. 12WECh. 3.6 - Prob. 13WECh. 3.6 - Prob. 14WECh. 3.6 - Prob. 15WECh. 3.6 - Prob. 16WECh. 3.6 - Prob. 17WECh. 3.6 - Prob. 18WECh. 3.6 - Prob. 19WECh. 3.6 - Prob. 20WECh. 3.6 - Prob. 21WECh. 3.6 - Prob. 22WECh. 3.6 - Prob. 23WECh. 3.6 - Prob. 24WECh. 3.6 - Prob. 25WECh. 3.6 - Prob. 26WECh. 3.6 - Prob. 27WECh. 3.6 - Prob. 28WECh. 3.6 - Prob. 29WECh. 3.6 - Prob. 30WECh. 3.6 - Prob. 1ST2Ch. 3.6 - Prob. 2ST2Ch. 3.6 - Prob. 3ST2Ch. 3.6 - Prob. 4ST2Ch. 3.6 - Prob. 5ST2Ch. 3.6 - Prob. 6ST2Ch. 3.6 - Prob. 7ST2Ch. 3.6 - Prob. 8ST2Ch. 3.6 - Prob. 9ST2Ch. 3.6 - Prob. 10ST2Ch. 3.6 - Prob. 11ST2Ch. 3.6 - Prob. 12ST2Ch. 3.6 - Prob. 13ST2Ch. 3.6 - Prob. 14ST2Ch. 3.6 - 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