Question 816615: The exterior angles of a convex pentagon measure (18x+12), 16x, (8x+6), (10x-12), and (5x+12). Determine the measure of the largest interior angle.
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The exterior angles of a convex pentagon measure (18x+12), 16x, (8x+6), (10x-12), and (5x+12). Determine the measure of the largest interior angle.
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Equation::
18x+12 + 16x + 8x+6 + 10x-12 + 5x+12 = 360 degrees
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57x + 18 = 360
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57x = 342
x = 6
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18x+12 = 18*6+12 = 120
16x = 16*6 = 96
10x-12 = 60-12 = 48
8x+6 = 8*6+6 = 54
5x+12 = 5*6+12 = 42
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Cheers,
Stan H.
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Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website! The exterior angles of a convex pentagon measure (18x+12), 16x, (8x+6), (10x-12), and (5x+12). Determine the measure of the largest interior angle.
Largest interior angle is the supplementary angle to the smallest exterior angle.
Smallest exterior angle: 
Largest interior angle:  , or 
You can do the check!!
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