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