Question

what are the sum of angles of a 15 sided polygon ?​

Answer 1

Answer:

Each triangle has an angle sum of 180degrwss, so the sum of the interior angles of the 15-gon must be 13×180=2340°

=2340÷15=156°

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Answer 2

The sum of angles of a 15 sided polygon = 2340°

Given:

A 15 sided polygon

To find:

The sum of angles of a 15 sided polygon ​

Solution:      

Polygon

• In two-dimensional geometric figures, Polygon is a figure which has a finite number of sides and each sides will connected end to end.

• The formula for sum of interior angles in a regular polygon is given by

                      Sum of angles = (2n-4)90°

         Where n = numbers of sides of polygon

Number of sides in given polygon = 15

⇒ Sum of the angles = (2(15)-4)90°

= (30 - 4)90°

= 2340°  

The sum of angles of a 15 sided polygon = 2340°

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