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Byju's Answer
Standard VIII
Mathematics
Exterior and Interior Points to an Angle
State true or...
Question
State true or false:
Is it possible to have a regular polygon whose each interior angle is
175
∘
A
True
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B
False
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Solution
The correct option is
A
True
Each interior angle of regular polygon of
n
sides is given by
180
o
(
n
−
2
)
n
According to question
180
o
(
n
−
2
)
n
=
175
0
⇒
180
o
(
n
−
2
)
=
175
n
⇒
180
n
−
360
o
=
175
n
⇒
5
n
=
360
o
⇒
n
=
72
Clearly there is a polygon of sides
72
whose each interior angle is
175
0
Suggest Corrections
0
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