Question

What is the maximum interior angle possible for a regular polygon?why?
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Answer 1

$\bold\red{Answer}$

☀The lesser the number of sides, the more is the measure of the interior angle of a regular polygon.

☀A triangle has the least number of sides. therefore it will have the maximum measure of interior angle. The maximum value of the interior angle will be 60 degree because 180/3 =60.....♡

Answer 2

ANSWER.

There is no limit on which is largest angle possible for a regular polygon bcoz…

If i take polgon of

Side 3 - exterior angle =360/3 =120° therefore each interior angle = 180–120 =60°.

Side 10 - exterior angle =360/10=36° therefore each interior angle= 180–36=144°.

Side 36- exterior angle=360/36 =10 therefore each interior angle=180–10=170° .

Side 1000 - exterior angle=360/1000=0.36 therefore each interior angle=180–0.36=179.64 [which is almost equal to a circle but not a circle].

So there is no limit to find the maximum possible interior angle of a regular polygon.

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