is the sum of angles of any polygon 2000 why
Answers
SOLUTION
CORRECT QUESTION
Is 2000° , the sum of the angle of a polygon ? why ?
EVALUATION
If possible 2000° is the sum of all angle of a n sided polygon
Number of sides = n
Sum of angles
\displaystyle \sf{ = (n - 2) \times {180}^{ \circ} }=(n−2)×180
∘
So by the given condition
\displaystyle \sf{ (n - 2) \times {180}^{ \circ} = {2000}^{ \circ} }(n−2)×180
∘
=2000
∘
\displaystyle \sf{ \implies (n - 2) = \frac{ {2000}^{ \circ} }{ {180}^{ \circ}} }⟹(n−2)=
180
∘
2000
∘
\displaystyle \sf{ \i
Which is not a natural number
Hence it is not possible 2000° as the sum of the angle of a polygon
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