If the sum of interior angles of a polygon is 1620- then the polygon has

The correct option is B 11 Sum of interior angles of a polygon with n sides = (2n 4) × 90^∘ ∴ (2n 4)× 90^∘ = 1620^∘ 2n 4 = 18 2n = 22 n = 11 And (A) ...

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Standard VI

Mathematics

Regular Polygon and Its Properties

If the sum of...

Question

If the sum of interior angles of a polygon is $1620^{\circ}$ , then the polygon has ___ sides.

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Solution

The correct option is A
11

Sum of interior angles of a polygon with n sides

$= (2 n - 4) \times 90^{\circ}$

$∴ (2 n - 4) \times 90^{\circ} = 1620^{\circ}$

2n - 4 = 18

2n = 22

n = 11

And (A)

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If the sum of interior angles of a polygon is 1620∘, then the polygon has ___ sides.

The correct option is A 11 Sum of interior angles of a polygon with n sides =(2n−4)×90∘ ∴ (2n−4)×90∘=1620∘ 2n - 4 = 18 2n = 22 n = 11 And (A)

If the sum of interior angles of a polygon is $1620^{\circ}$ , then the polygon has ___ sides.

The correct option is A
11

Sum of interior angles of a polygon with n sides

$= (2 n - 4) \times 90^{\circ}$

$∴ (2 n - 4) \times 90^{\circ} = 1620^{\circ}$

2n - 4 = 18

2n = 22

n = 11

And (A)