Question

the sum of the measure of the interior angles of polygon is 900 degree. How many sides does the polygon have

Answer 1

Answer:

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Step-by-step explanation:

Total external angle of a polygon is 360. So the total angle of the given polygon is 900 + 360 = 1260. Since each angle contributes 180 in the total , this polygon has 7 angles and therefore 7 sides.

Answer 2

Answer:

The number of the sides of the polygon is 7  whose sum of the interior angles is 900.

Step-by-step explanation:

• The sum of the interior angles of the polygon is given by the formula

        $Sum=(n-2)180$

          where n is the number of sides of polygon and 180 is the angle

          contributed by the each side.

• The sum of interior angle is 900 as given in question.
• By putting in the equation.

         $Sum=(n-2)180$

         $900=(n-2)180\\(n-2)=5\\n=7$

• The number of the sides of the polygon is 7