# Find Angle Measures in Polygons - PowerPoint PPT Presentation

Title:

## Find Angle Measures in Polygons

Description:

### Lesson 5.7 Find Angle Measures in Polygons – PowerPoint PPT presentation

Number of Views:135
Avg rating:3.0/5.0
Slides: 12
Provided by: Walte144
Category:
Tags:
Transcript and Presenter's Notes

Title: Find Angle Measures in Polygons

1
Lesson 5.7
• Find Angle Measures in Polygons

2
What is the angle sum of the triangle?
sides of triangles Angle sum
3
4
5
6
8
180
180
3
What is the angle sum of the quadrilateral?
Sum 2(180)
sides of triangles Angle sum
3 1 180
4
5
6
8
180
180
4
What is the angle sum of the pentagon?
Sum 3(180)
sides of triangles Angle sum
3 1 180
4 2 360
5
6
8
180
180
180
5
What is the angle sum of the hexagon?
Sum 4(180)
sides of triangles Angle sum
3 1 180
4 2 360
5 3 540
6
8
180
180
180
180
6
What is the angle sum of the octagon?
Sum 6(180)
sides of triangles Angle sum
3 1 180
4 2 360
5 3 540
6 4 720

180
180
180
180
180
180
7
(No Transcript)
8
Given the angle sum find the number of sides.
• If the measures of the interior angles of a
polygon measures 2700. Classify the polygon by
the number of sides.
• Therefore the polygon was a 17 gon.

9
Example 3 Find an unknown interior angle measure.
• Find the value of x in the diagram.
• The polygon is a quadrilateral.
• Use the corollary to theorem 5.16 Interior angles