Question

find the number of sides of a polygon, if the ratio between an exterior and interior angle of a regular polygon is 1:5​

Answer 1

Step-by-step explanation:

the exterior angle is always 360°

360°×5 is the sum of angle of polygon

=1800°

2- no. of sides× 180 is the formula

2-12×180=1800

means no. of sides is 12

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Answer 2

Answer

1x+5x=180 degrees(linear pair)

6x=180 degrees

x=180/6=30 degrees(transposition)

Therefore formula is 360/x

Therefore 360/30=12 sides

Therefore the polygon has 12 sides

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