Question

What is the maximum possible length of an exterior angle of a polygon?

Answer 1

Step-by-step explanation:

There is no limit on which is largest angle possible for a regular polygon as it depend on the number od sides. The examples is given below. Please go through it.

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.