Question

What will be the sum of the measures of all the interior angles of a polygon having 14 sides? What is the exterior angle?

Answer 1

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Answer 2

Answer:

154.2*

Step-by-step explanation:

Number of sides of a polygon= 14 sides

Sum of all the angles of a polygon having 14 sides=?

Solution: Let us take the value of 14 sides= n

So we have- Sum of all the angles=((n×2)-4)right angles.

Therefore, Polygon(14 sides)= ((14×2)-4)×90*

=(28-4)×90*=24×90*=2160* (total)

Hence, we get: Value of 1 angle of a 14 sides polygon= (sum of all the angles)/number of sides=2160*/14=154.2* approx answer

( Since *=degrees)