ejayf
ejayf ejayf
  • 04-02-2020
  • Mathematics
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What is the sum of the interior angles of the polygon shown?

What is the sum of the interior angles of the polygon shown class=

Respuesta :

iwillanswer iwillanswer
  • 12-02-2020

The sum of the interior angles of the polygon shown is 540 degrees

Solution:

The sum of the measures of the interior angles of a polygon with n sides is:

[tex]Sum = (n -2) \times 180[/tex]

From given figure in question,

Number of sides in polygon = 5 ( which is a pentagon )

Therefore,

n = 5

Thus the sum of measures of interior angles is:

[tex]Sum = (5-2) \times 180\\\\Sum = 3 \times 180\\\\Sum = 540[/tex]

Thus the sum of the interior angles of the polygon shown is 540 degrees

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