Solving for Angles in a Polygon

Presentation

•

Mathematics

•

7th - 10th Grade

•

Hard

Joseph Anderson

FREE Resource

14 Slides • 13 Questions

Polygons and Angles I

Right Angles, Acute Angles, and Obtuse Angles

- Right angles measure 90 degrees

- Acute angles measure less than 90 degrees

- Obtuse angles measure more than 90 degrees

Multiple Choice

Quick Check:

Find the value of the variable:

65º

70º

76º

56º

Multiple Choice

Quick Check:

Find the value of the variable:

x = 15

x = 16

x = 14

x = 13

Multiple Choice

Quick Check:

Find the value of the variable:

x = 31

x = 30

x = 35

x = 29

Polygons

In geometry, a polygon is a plane figure that is described by a finite number of straight-line segments connected to form a solid plane region.

Names of Polygons

A 3-sided polygon is called a TRIANGLE
A 4-sided polygon is called a QUADRILATERAL
A 5-sided polygon is called a PENTAGON
A 6-sided polygon is called a HEXAGON
A 8-sided polygon is called a OCTAGON
A 9-sided polygon is called a NONAGON
A 10-sided polygon is called a DECAGON

Multiple Choice

Go ahead and try it with the triangle, What is the sum of the measures of the interior angles?

180º

360º

90º

45º

Multiple Choice

What is the sum of the measures of the interior angles of A 12-sided polygon?

1800º

1220º

1400º

1540º

Multiple Choice

What is the sum of the measures of the interior angles of An 8-sided polygon is called an OCTAGON?

1080º

1100º

1440º

1540º

Multiple Choice

What is the sum of the measures of the interior angles of A 6-sided polygon is called a HEXAGON?

1080º

720º

1440º

1540º

Multiple Choice

For a regular NONAGON, find the sun of measures of the interior angles.

1260º

1620º

1350º

1435º

Find the Measure of One Interior Angle

Interior angles of regular polygons

Find the sum of interior angles using the formula 180n-360 as before. Then divide by the number of sides to find the value of one angle.

Multiple Choice

Find the size of one interior angle of this regular hexagon

120º

125º

130º

135º

Multiple Choice

Find the size of one interior angle of this regular decagon

144º

154º

146º

139º

Multiple Choice

For a regular NONAGON, find the measure of one interior angle.

140

160

180

120

Multiple Choice

What is the value of angle aº?

116º

110º

120º

125º

Multiple Choice

What is the value of angle aº?

112º

115º

120º

125º

Polygons and Angles I

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