Question

The ratio of outer and inner angle of a regular polygon is 1:4?
a) find the outer angle
b) find the number of side of the polygon

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Answer 1

Answer:

90 degrees and 4 sides

Step-by-step explanation:

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Answer 2

Let total no. Of sides be "n"

Outer angle of a polygon can be given as 360/n

Inner angle can be given as( n-2)×180/n

So outer :inner= 2/(n-2)=1:4

8=n-2

n=10

SO outer angle =360/10=36 degree

Sides =n=10