Polygon+Angle+Relationships+P3


 * Polygon Interior Angles Theorem ****By Ashley and Carrie **

** Angle 1 + Angle 2 + Angle 3 + Angle 4 = (n-2) • 180° ** ** (n-2) • 180° ** = = = = = **Ex:** = ** 90 + 90 + 90 + 90 = 360 ** media type="custom" key="12753856" ** Ex: **
 * (4-2) • 180°= **
 * 2 • 180°= 360° **
 * The sum of the measures of the interior angles of a rectangle is __360°.__ **
 * There are 24 measures of interior angles. What would be the sum of all the angles? HINT: n=24 **

**__Corollary to Theorem 8.1 __** **x° + 108° + 121° + 59°= 360° ** **x + 288= 360 ** **x= 72 **
 * Interior Angles of a Quadrilateral **
 * ~The sum of the measures of the interior angles of a **
 * quadrilateral is 360~ ** [[image:geometrych8-2012/PolygonGeogebra.png width="800" height="399"]]

= HERES A LINK TO WATCH A VIDEO THAT HELPS EXPLAIN THE INTERIOR ANGLES THEOREM!!!!! :) = @http://www.brightstorm.com/math/geometry/polygons/polygon-angle-sum/ = = __Vocabulary: __
 * Consecutive vertices- Two vertices that are endpoints of the same side **
 * Diagonal- a segment that joins two non consecutive vertices **

The sum of the measures of the exterior angles of a convex polygon, one angle at each vertex, is 360 degrees. Lin @http://www.mathsisfun.com/geometry/exterior-angles-polygons.html
 * THEOREM 8.2- polygon exterior angles theorem **



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 * <span style="color: #660066; font-family: 'Gill Sans Ultra Bold','sans-serif'; font-size: 13px;">CONCEPT: angle 1 +angle 2 + angle 3 + angle 4 + angle 5 += 360 **
 * 2x+x+72+92= 360--- **** à **** 3x+164=360 --- **** à **** 3x= 196 **** à **** 196/3-- **** à **** x= 65 **


 * <span style="color: #660066; font-family: 'Gill Sans Ultra Bold','sans-serif'; font-size: 13px;">Set up an algebra problem to solve the exterior angles. **


 * <span style="color: #660066; font-family: 'Gill Sans Ultra Bold','sans-serif'; font-size: 16px;">ANGLES OF A QUADRILATERAL ALWAYS ADD TO BE 360 DEGREES. **

<span style="font-family: 'Calibri','sans-serif'; font-size: 15px;">[|**http://www.mathopolis.com/questions/q.php?id=830&site=1&ref=/geometry/exterior-angles-polygons.html&qs=830_831_1776_832_1777_3317_3318_3319**]
 * <span style="color: red; font-family: 'Gill Sans Ultra Bold','sans-serif'; font-size: 13px;">If you think you understand, try this short quiz! It’s easy! link **

TOOOOOOO --->>>>>

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