11.1 angles measures in a polygon
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11.1 Angles Measures in a Polygon
Sum of the angles in a
Triangle 180°
Quadrilateral 360°
Pentagon 540°
Hexagon ?
How to find the Sum,
Number of sides minus two times 180°
1802n
Remember
Each angle of a Regular Polygon
Regular Polygons have all sides and angles equal.
Each angle would be
n
n 1802
Solve for x
Non regular polygon
x
114
105
102
135
Solve for x
x
114
105
102
135
84
540456
180)25(135114105102
x
x
x
Interior and External Angles of Polygon
The External always add to 360°
Remember
How many sides?
If each interior angle of a regular polygon is 165°. The polygon had how many sides?
If you use the interior angle.
24
15360
165360180
1651802
1651802
n
n
nn
nnn
n
How many sides?
If each interior angle of a regular polygon is 165°. The polygon had how many sides?
If you use the external angle. 15165180
24
15360
15360
n
nn
Solve for y
y2
y2
y
y
Solve for y
y2
y2
y
y
60
3606
36022
y
y
yyyy
Solve for x Regular Hexagon
x
Solve for x Regular Hexagon
x
606
360
6
x
x
n
Homework
5451
4030
246#
667665
Page
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