Title: Find Angle Measures in Polygons
1Lesson 5.7
- Find Angle Measures in Polygons
2What is the angle sum of the triangle?
sides of triangles Angle sum
3
4
5
6
8
180
180
3What is the angle sum of the quadrilateral?
Sum 2(180)
sides of triangles Angle sum
3 1 180
4
5
6
8
180
180
4What 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
5What 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
6What 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)
8Given 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.
9Example 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
10Example 4 Find an unknown exterior angle measure.
- Find the value of x in the diagram.
- Use the polygon exterior angles theorem.
11Homework 1 6 find the sum of the interior angle
measures of the convex polygon.