The sum of the interior angles of a polygon with n sides is 1980°. Find n.

Mathematics

2 answers:

masya89 [10]2 years ago

8 0

Answer:

Step-by-step explanation:

The sum of the angles of any polygon with 'n' sides is (n - 2) times 180 degrees.1980 / 180 = 11 , so the polygon has 13 sides and 13 angles.If the polygon is regular, then all the angles are equal.Each interior angle is 1980/13 = 152.308 degrees (rounded

natka813 [3]2 years ago

3 0

Answer:

n = 13

Step-by-step explanation:

The sum of the measures of the interior angles of an n-sided polygon is

(n - 2)180

Set (n - 2)180 equal to 1980 and solve for n.

(n - 2)180 = 1980

Divide both sides by 180.

n - 2 = 11

Add 2 to both sides.

n = 13

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