Question

find the measure of an interior angle of a regular
ploygon of a side​

Answer 1

Answer:

We know that the interior angle is twice the external, and we know that: B=C

Then we have: B+C=2A«=»2B=2A«=»B=A

In other hand wee know that D=360ºn , where n is the number of sides of the polygon.

We also know that C=B , then C=A . Then C+B+A=180º«=»3A=180A=60º=»B=60º

Finaly: D+2B=180º«=»D=60º

That means:

360ºn=60«=»n=6

So the the ploygon has 6 sides, therefore it is a Hexagon.

Hope it helps!

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