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What is the sum of the measures of the interior angles of the decagon?

1 Answer

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Given parameters:

Number of sides of the regular body = 10

A decagon has 10 sides.

Unknown:

Sum of the measures of the interior angles = ?

Solution;

To find the sum of the interior angles of a decagon; use the expression below:

Sum of interior angles = (n - 2) x 180

where;

n = number of sides;

So,

Sum of interior angles = (10 - 2) x 180 = 1440°

The sum of interior angle of a decagon is 1440°

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