Question

Determine the number of sides of a polygon whose exterior and interior angles are in the ratio 1:5

solve fast please help me

Answer 1

Heyaa☺

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Given,

The angles ratio of exterior and interior are 1:5.

i.e,

1x : 5x

Let the exterior angle be 1x and interior angle be 5x.

The sum of angles = 180

=》 1x + 5x = 6x

6x = 180

=》x = 30.

In polygon the product of sum of exterior and interior angles equals to 360.

=》nx = 360

n×30 = 360.

n = 12.

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Hope you understood..✌

Answer 2

your answer is in the attachment.