Chapter 6 Quadrilaterals.

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Presentation transcript:

Chapter 6 Quadrilaterals

6.1 Angles of Polygons

Types of Polygons Triangle – 3 sides Quadrilateral – 4 sides Pentagon – 5 sides Hexagon – 6 sides Heptagon – 7 sides Octagon – 8 sides Nonagon – 9 sides Decagon – 10 sides Dodecagon – 12 sides All other polygons = n-gon

Interior Angle Sum Theorem Exterior Angle Sum Theorem The sum of the measures of the interior angles of a polygon is found by S=180(n-2) Ex: Hexagon Exterior Angle Sum Theorem The sum of the measures of the exterior angles of a polygon is 360 no matter how many sides.

Lesson 6.1 : Angles of Polygons Find the measure of an interior and an exterior angle for each polygon. 24-gon 3x-gon Find the measure of an exterior angle given the number of sides of a polygon 260 sides

Lesson 6.1: Angles of Polygons The measure of an interior angle of a polygon is given. Find the number of sides. 175 168.75 A pentagon has angles (4x+5), (5x-5), (6x+10), (4x+10), and 7x. Find x. 180-175=5 360/5= 72

A. Find the value of x in the diagram.