Samanthacas0713 Samanthacas0713

26-04-2020
Mathematics

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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

The sum of the measures of the interior angles of the 5sided house is 540 degrees Find the value of y 72 degrees 18 degrees 54 degrees 90 degrees 36 degrees class=

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sqdancefan sqdancefan

27-04-2020

Answer:

54 degrees

Step-by-step 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

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