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

##### 1 Answer
Aug 15, 2016

125°

#### Explanation:

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°

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

$6 x + 30 = 720$

$6 x = 690$

x = 115°

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

Check:

115+117+119+121+123+125 = 720°