1.

To verify that of all exterior angle of any polygon will be always 360 degree do in maths practical ​

Answer»

GIVEN: A polygon with ‘N’ number of sides , <1,<2,<3,<4,<5,……

TO PROVE: <1 + <2 + <3 + <4 + <5 + ……

The sum of interior angles of any polygon

=(n-2)*180 ………(FORMULA used)

PROOF: <1 +

<2 +

<3 +

<4 + < D = 180° ………..(4)

<5 +

And so on up to n times..

By adding all above (1)+(2)+(3)+(4)+(5)+….(n)

<1+<2+<3+<4+<5+…….

= 180n -{ ( n-2)*180 }

= 180n - 180n + 2*180

= 2*180

= 360°

=> <1+<2+<3+<4+<5+…..

[ HENCE PROVED]



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