Question

the exterior angle of a regular polygon is two fifth of its interior angle how many sides has the polygon

Answer 1

The exterior angle of a regular polygon is one-third of its interior angle. How many sides does the polygon have? Np. of sides ofregular polygon = 360/45 = 8. The figure is a regular octagon and it has 8 equal sides, 8 vertices, and 20 diagonals.

Answer 2

Hello! ! !

Hey my dear friend here is your answer _________________


Let the interior angle be x

exterior angle will be (180- x )

(180 - x ) = 1x/5

900-5x = x

900= x + 5x

900= 6x

x = 900/6

x= 150

each interior angle is 150°

the number of sides are

{ n - 2 ) * 180} /n = 150

( n - 2 ) * 180 = 150n

n-2 = 150n / 180

n-2 = 5n/6

6(n - 2)= 5n

6n - 5n = 12

n = 12

number of sides= 12

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HOPE THIS ANSWER WILL HELP U dear....

@Neha...