The angles of a hexagon have degree measures that are consecutive odd integers. What is the degree measure of the largest angle?

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Answer 1 · 2016-08-15T20:07:10

#125°#

Let the smallest angle be #x#

The other angles are :#x+2, x+4, x+6, x+8, x+10#

The sum of the angles of a hexagon is #720°#

#x+x+2+x+4+x+6+x+8 +x+10 = 720#

#6x +30= 720#

#6x = 690#

#x = 115°#

The largest angle is #x +10 = 115+10 = 125°#

Check:

#115+117+119+121+123+125 = 720°#