Question

the inner angle of a regular polygon is 4 times it's outer angle.a) what is the measure of each outer angle?
b)how many sides does it have?
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Answer 1

Answer:

let outer angle be X and inner angle be y

X+y = 360

given that outer angle is 4 times outer angle

therefore y = 4x

X+4x= 360

5x=360

X= 72.

hence one angle is 72 so there are five sides and it is pentagon.

answer is it is Pentagon.