Find Angle Measures in Polygons - PowerPoint PPT Presentation

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Find Angle Measures in Polygons

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Lesson 5.7 Find Angle Measures in Polygons – PowerPoint PPT presentation

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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
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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
    of a quadrilateral

10
Example 4 Find an unknown exterior angle measure.
  • Find the value of x in the diagram.
  • Use the polygon exterior angles theorem.

11
Homework 1 6 find the sum of the interior angle
measures of the convex polygon.
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