Find the sum of interior angles of 25-gon.
Answers
Step-by-step explanation:
Sum of the measures of all the exterior angles of any polygon, irrespective of its number of sides is always
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
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
Sum of the measures of all the exterior angles and all interior angles of a 25-sided polygon is25×180∘=4500∘
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∘
)∘=4140∘ From the above information, we can see that for an sided polygon
)∘=4140∘ From the above information, we can see that for an sided polygonSum of interior angles = (n−2)⋅180∘
Answer:
4140°
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