TjRodrigues TjRodrigues
  • 08-05-2024
  • Mathematics
contestada

The sum of the interior angle measures of a convex polygon is 900°. How many sides does it have?
Number of sides =
X
5

Respuesta :

rvkacademic
rvkacademic rvkacademic
  • 08-05-2024

Answer:

7 sides

Step-by-step explanation:

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

S = (n - 2) * 180°

where n = number of sides

Given S = 900

We get

900 =  (n - 2) * 180

Divide both sides by 180:
900/180 - n - 2

5 = n - 2

n = 5 + 2 = 7

Check

(7-2) * 180° = 5 * 180° = 900°

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