If the sum of interior angles of a regular polygon is 2340, 340. Find the number of side

March 15, 2026Mathematics

ScanSolve AI Answer

March 15, 2026

Answer

Step 1: Formula for the sum of interior angles of a polygon.

The sum of the interior angles of a polygon with $n$ sides is $(n-2) \times 180^\circ$ .

Given sum = $2340^\circ$ ,

(n-2) \times 180^\circ = 2340^\circ

Step 2: Solve for $n-2$ .

Divide both sides by $180^\circ$ :

n-2 = \frac{2340^\circ}{180^\circ} = 13

Step 3: Solve for $n$ .

n = 13 + 2 = 15

The regular polygon has 15 sides.

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