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faltersainse [42]
1 year ago
14

The sum of the measures of the angles of a polygon with n sides is given find n

Mathematics
1 answer:
posledela1 year ago
6 0

Answer:

The polygon has 3 sides ( a triangle).

n=3

Explanation:

The sum of the angles of a polygon can be written as;

(n-2)180

where n is the number of sides of the polygon.

Given that the sum of the angles in the polygon is 180 degree;

\begin{gathered} (n-2)180=180 \\ n-2=\frac{180}{180} \\ n-2=1 \\ n=1+2 \\ n=3 \end{gathered}

Therefore, the polygon has 3 sides ( a triangle).

n=3

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