Question

what is the sum of the angels of a 25 sides polygon​

Answer 1

Answer:

Sum of the measures of the interior angles of a 25-sided polygon is 4140∘

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∘