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Serjik [45]
3 years ago
11

What is the sum of the measurements of all the angles in a polygon with k sides?

Mathematics
1 answer:
larisa [96]3 years ago
8 0

Answer:

The sum is equal to (k-2)*180\°  or (k)180\°-360\°

Step-by-step explanation:

we know that

The sum of the interior angles in a polygon is equal to the formula

S=(n-2)*180\°

where

S is the sum of the interior angles of a polygon

n is the number of sides

In this problem we have

n=k\ sides

substitute the value

S=(k-2)*180\°  or S=(k)180\°-360\°

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