Question

The sum of the measures of the interior angles of the 5-sided house is 540 degrees Find the value of y.

72 degrees
18 degrees
54 degrees
90 degrees
36 degrees

Answer 1

54 degrees

Explanation:

The problem statement tells you the sum of measures:

y +(2y) +(2y+4) +(2y+2) +(3y-6) = 540

y(1 +2 +2 +2 +3) +(4 +2 -6) = 540 . . . collect terms

10y = 540 . . . . simplify

y = 54 . . . . . degrees