Question 206933: The degree measures of the angles of a pentagon are consecutive even integers. Find the measure of the largest angle. (Hint: The sum of the measures of the angles of a pentagon is 540 degrees.)
Found 2 solutions by Alan3354, vleith:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! The degree measures of the angles of a pentagon are consecutive even integers. Find the measure of the largest angle. (Hint: The sum of the measures of the angles of a pentagon is 540 degrees.)
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To reword it, 5 consecutive even integers add to 540.
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The hard way:
x + x+2 + x+4 + x+6 + x+8 = 540
5x + 20 = 540
5x = 520
x = 104
--> 104,106,108,110,112
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The easy way:
540/5 = 108 (the middle number)
2 numbers will be below and 2 above
--> 104,106,108,110,112
112º is the largest.
Answer by vleith(2983)  (Show Source):
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