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Find out the sum of the interior angles and the name of the polygon having 25 sides* |
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Answer» 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 is25×180∘ =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 polygonSum of interior angles = (n−2)⋅180∘ |
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