
Solving for Angles in a Polygon
Presentation
•
Mathematics
•
7th - 10th Grade
•
Hard
Joseph Anderson
FREE Resource
14 Slides • 13 Questions
1
Polygons and Angles I
2
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
3
Multiple Choice
Quick Check:
Find the value of the variable:
65º
70º
76º
56º
4
Multiple Choice
Quick Check:
Find the value of the variable:
x = 15
x = 16
x = 14
x = 13
5
Multiple Choice
Quick Check:
Find the value of the variable:
x = 31
x = 30
x = 35
x = 29
6
7
8
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.
9
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
10
11
12
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
13
14
15
Multiple Choice
What is the sum of the measures of the interior angles of A 12-sided polygon?
1800º
1220º
1400º
1540º
16
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
17
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
18
Multiple Choice
For a regular NONAGON, find the sun of measures of the interior angles.
1260º
1620º
1350º
1435º
19
Find the Measure of One Interior Angle
20
21
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.
22
Multiple Choice
Find the size of one interior angle of this regular hexagon
120º
125º
130º
135º
23
Multiple Choice
Find the size of one interior angle of this regular decagon
144º
154º
146º
139º
24
Multiple Choice
For a regular NONAGON, find the measure of one interior angle.
140
160
180
120
25
26
Multiple Choice
What is the value of angle aº?
116º
110º
120º
125º
27
Multiple Choice
What is the value of angle aº?
112º
115º
120º
125º
Polygons and Angles I
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