salemalhajaeri
salemalhajaeri salemalhajaeri
  • 26-04-2021
  • Mathematics
contestada

The sum of the interior angle measures of a convex polygon is 540° . How many sides does it have?

Respuesta :

brownblack101
brownblack101 brownblack101
  • 26-04-2021

Answer:

5 sides

Step-by-step explanation:

A polygon includes the shape pentagon which has  5 sides.

If  n  are number of sides of a convex polygon, sum of its interior angles is 540 degrees.

As in given case sum of interior angles is 540°, we have

( n  −  2 )  ×  180 °  =  540°

When we solve this equation, we get 5 sides.

We can check this by plugging 5 into n, so the equation is

(5 - 2) x 180°   = 540, this becomes...

3 x 180 = 540; this is correct so you answer is 5 sides.

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