smartbrain90 smartbrain90
  • 17-03-2020
  • Mathematics
contestada

The sum of the interior angles of a polygon is
26 right angles. How many sides does the polygon have?
A 45 B 35 C 25 D15 E5​

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 25-03-2020

Answer:

D) 15

Step-by-step explanation:

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

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

We have that, the sum of the interior angles of a polygon is

26 right angles. We want to find n, the number of sides.

We substitute into the formula to get:

[tex](n - 2) \times 180 = 26 \times 90[/tex]

Divide through by 90

[tex]2(n - 2) = 26[/tex]

Divide through by 2

[tex]n - 2 = 13[/tex]

[tex]n = 13 + 2[/tex]

[tex]n = 15[/tex]

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