Results for interior angle
On this page:
 
Dictionary:

interior angle

interior angle
(Click to enlarge)
interior angle
Angles 3, 4, 5, and 6 are interior angles; angles 3,6 and 4,5 are alternate interior angles.
(Academy Artworks)

n.
  1. Any of the four angles formed between two straight lines intersected by a third straight line.
  2. The angle formed inside a polygon by two adjacent sides.

 
 
WordNet: interior angle
Note: click on a word meaning below to see its connections and related words.

The noun has one meaning:

Meaning #1: the angle inside two adjacent sides of a polygon
  Synonym: internal angle


 
Wikipedia: internal angle
External angles law
Enlarge
External angles law

In geometry, an interior angle (or internal angle) is an angle formed by two sides of a simple polygon that share an endpoint, namely, the angle on the inner side of the polygon. A simple polygon has exactly one internal angle per vertex.

If every internal angle of a polygon is at most 180 degrees, the polygon is called convex.

Interior angle measures of regular polygons

To find the total measure of degrees in a regular polygon, (regular meaning all sides and angles are equal) you must take the number of sides the polygon has, n, subtract 2 from it, then multiply that number by 180.

Example:

A decagon, a polygon with 10 sides, is a simple shape to figure the total measure of

(n-2) \times 180 \!

measure in degrees, when n

number of sides

Solution to the decagon:

(10-2) \times 180 =1440. \!

The total measure of the decagon is 1440º.

Divide that number by the number of sides, in this case, 10, to find the measure of each angle.

Each interior angle of a regular decagon is 144º.

Finding the exterior angles on a regular polygon

The sum of all the exterior angles on a polygon is 360º.

To find the measure of a regular decagon's exterior angles, divide 360 by the number of sides the polygon has, in this case, 10.

\frac{360}{10} = 36.

So all the exterior angles in a regular decagon are 36º.

External links


 
 

Join the WikiAnswers Q&A community. Post a question or answer questions about "interior angle" at WikiAnswers.

 

Copyrights:

Dictionary. The American Heritage® Dictionary of the English Language, Fourth Edition Copyright © 2007, 2000 by Houghton Mifflin Company. Updated in 2007. Published by Houghton Mifflin Company. All rights reserved.  Read more
WordNet. WordNet 1.7.1 Copyright © 2001 by Princeton University. All rights reserved.  Read more
Wikipedia. This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Internal angle" Read more

Search for answers directly from your browser with the FREE Answers.com Toolbar!  
Click here to download now. 

Get Answers your way! Check out all our free tools and products.

On this page:   E-mail   print Print  Link  

 

Keep Reading

Mentioned In: