Question

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

Answer 1

Step-by-step explanation:

Ratio of external and internal angles = 1:5

Let, exterior angle be = 1x

interior angle be = 5x

Now, 1x + 5x = 180

6x = 180

x = 30

So exterior angle = 1x = 1×30 = 30°

interior angle = 5x = 5×30 = 150°

No. of sides of polygon = 360/exterior angle

=360/30 = 12

So, polygon is of 12 sides.

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Answer 2

Answer:

hloo..

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ujjwalsharma2

ujjwalsharma2

21.03.2018

Math

Primary School

+5 pts

Answered

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

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Answers

Soni852

Soni852 Helping Hand

Ratio of external and internal angles = 1:5

Let, exterior angle be = 1x

interior angle be = 5x

Now, 1x + 5x = 180

6x = 180

x = 30

So exterior angle = 1x = 1×30 = 30°

interior angle = 5x = 5×30 = 150°

No. of sides of polygon = 360/exterior angle

=360/30 = 12

So, polygon is of 12 sides.

I hope it helps u......

.

please mark as brainlist..