"Polygon Inside"

All Δs have three interior angles

with a sum of              degrees.

40
50
90

40

105

35

All Δs have three interior angles

with a sum of              degrees.

40
?
50
90
180

40

110

30

?

All quadrilaterals have 4 interior angles

with a sum of                 degrees

90
90
90
90
60
130
100
70
(Eyeball "◉◉" Acute vs. Obtuse vs. Right angles)

All quadrilaterals have 4 interior angles

with a sum of                 degrees

90
90
?
90
90
360
60
135
?
95
70
?
∆ triangle (3)
⌂ pentagon (5)

    Shape

( # of sides)

quadrilateral (4)

hexagon (6)

Sum of

Interior ∡s

180

360

540

+180
+180
+180
80
120
110

100

 

x
hexagon
Shape
Interior
   ∡s
180

360

540-(110+120+80+100)= x
540 - (                   )   = x
x =
80
120
110

100

 

x
hexagon
Shape
Interior
   ∡s
180

540

360

2x

3x

2x
2x
x
hexagon
Shape
Interior
   ∡s
180

360

2x+2x+x+2x+3x = 540

(how many x?  Do NOT say 5x)
2x

3x

2x
2x
= 540
x
hexagon
Shape
Interior
   ∡s
180

540

360

2x+2x+x+2x+3x = 540

2x

3x

10x
x    =
2x
2x
= 540
x
hexagon
Shape
Interior
   ∡s

720

180

540

360

Regular polygons have congruent sides
             and congruent angles
Which polygon has the greatest interior angle sum???
Regular polygons have congruent sides
             and congruent angles
.
.
.
.
.
.
.
.
hexagon
Shape
Interior
   ∡s
180

540

360

The 720 sum is divided
6 ways, equally
720
sum
hexagon
Shape
Interior
   ∡s
180

540

720

360

Which
-gon
   is
which?
Octagon
?
Pentagon
?
Hexagon
?
Decagon
?
Dragon
?
Wagon
?
The
End
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