Question

find out the sum of the interior angles and the name of the polygon having 25 sides*​

Answer 1

Sum of the measures of the interior angles of of a 25-sided polygon is

4140.

Step-by-step explanation:

Sum of the measures of all the exterior angles of any polygon, irrespective of its number of sides is always

360∘.

As the measure of each pair of exterior and interior angles of a polygon adds up to

180∘,

Sum of the measures of all the exterior angles and all interior angles of a 25-sided polygon is

25×180∘ =4500∘

Hence, sum of all the interior angles of of a 25-sided polygon is

(4500−360)∘= 4140∘

From the above information, we can see that for an n sided polygon

Sum of interior angles = (n−2)⋅180∘

Answer 2

Answer:

sum of interior angles of polygon having 25 sides= (n-2)180degree

here n=25

therefore sum of interior angles:-

(25-2)180

=4140 ans.

and name of polygon having 25 side is

Icosikaipentagon or Pentacosagon.

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