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The sum of the interior angles of a pentagon is 6x + 6y. Find y…

The sum of the interior angles of a pentagon is 6x + 6y. Find y in the terms of x
  • A.
    y = 90 – x
  • B.
    y = 150 – x
  • C.
    y = 60 – x
  • D.
    y = 120 -x
Correct Answer: Option A
Explanation

6x + 6y = (n – 2) 180
6x + 6y= (5 – 2) 180
6(x + y) = 3 * 180
x + y = (3 * 180)/6
x + y = 90o
y = 90 – x