Question

The sum of the interior angles of a polygon is 1620°. How many sides does the polygon have?

Answer 1

Answer:

• 11 is sides of polygon

Given :

• The sum of the interior angles of a polygon is 1620⁰

To find :

• Sides

Solution :

we know that, Sum of interior angles of n - sided polygon is

• (n - 2) × 180

where , n is number of sides

Given , The sum of the interior angles of a polygon is 1620⁰ then,

》(n - 2) 180 = 1620

》(n - 2) = 1620/180

》n - 2 = 9

》n = 9 + 2

》n = 11

Hence , 11 is sides of polygon

Verification:

As we know that

• (n - 2) × 180

Where , n is 11

》(11 - 2) × 180

》9 × 180

》1620

Hence verified

More Explanation :

• Polygon is 2D shape
• Polygon are two types : Regular polygon and irregular polygon