Download presentation

Presentation is loading. Please wait.

1
**Concept: Angle Measures in Polygons**

Date: Sec 8-1 Concept: Angle Measures in Polygons Objective: Given a polygon, determine the measures of angles as measured by a s.g.

2
**Sum of the measures of the interior angles in a polygon**

Sum of interior angles = (n-2)180, Where n = number of sides

3
**Example 1: Find the value of x**

= 456 =84 S= (n-2)180 S=(5-2)180 S=540

4
**Example 2: Find the value of x**

S= (n-2)180 S=(8-2)180 S=(6)180 S=1080 X= 1080/8 X = 135 X

5
Example 3: The sum of the measures of the interior angles in a convex polygon is given. Classify the polygon by the number of sides. B. 360 A

6
**Example 4: Find the measure of each angle in a regular 11-gon**

(11-2)180 11 Each angle = 147.3

7
Example 5: The measure of each interior angle of a regular polygon is How many sides does the polygon have? (n-2)180 = 165 n Cross mult. (n-2)180 = 165n 180n-360 = 165n -180n n -360 = -15n 24 = n

8
**Sum of the exterior angles in a polygon is always 360**

Example 6: What is the measure of each exterior angle in a regular hexagon? =360/6 =60

9
**Example 7: Find the value of x**

10
Example 8: The measure of each exterior angle of a regular polygon is 40. How many sides does the polygon have? 360/40 =9 sides

11
Example 9:

12
**Wrap-up: How do you find the sum of the interior angles in a polygon?**

How do you find the sum of the exterior angles in a polygon? Why do you need to know this?

13
Today’s Work

Similar presentations

OK

A polygon is a closed figure whose sides are line segments that intersect only at their endpoints. In a regular polygon , all the angles have the same.

A polygon is a closed figure whose sides are line segments that intersect only at their endpoints. In a regular polygon , all the angles have the same.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on 60 years of indian parliament Ppt on working of ac generator Ppt on basic computer organisation Ppt on ms project 2007 Process control block ppt on operating system Ppt on needle stick injury treatment Ppt on ovarian cycle Ppt on cross-site scripting attack Ppt on traction rolling stock Ppt on educating girl child