Question

Q4.Is it possible to have a regular polygon with
measure of each interior angle as 580? Why? Can
it be an interior angle of a regular polygon?​

Answer 1

Answer:

There can not be a regular polygon with exterior

angles of 58 degrees.

The second part of the question asks whether 58 degrees could be the interior angle of a regular polygon.

The answer here is also “no.”

The answer should go without saying, but here’s the proof anyway:

The number of sides times the number of degrees in each angle equals the (number of sides minus two) times 180 degrees.

⇒58N = 180 ( N - 2 )

⇒58N = 180 N - 360

⇒ -122N = - 360

⇒ N = 2.95

Again, no partial sides in a regular polygon.

Step-by-step explanation:

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