The degrees measures of the angles of a pentagon are consecutive even integers. How do you find the measure of the largest angle?

Apr 7, 2018

The largest angle is $112$

Explanation:

The angle sum of a pentagon is $540$.

Let the largest angle be $x$.

$\therefore$ the angles are $x , x - 2 , x - 4 , x - 6 , x - 8$

So,

$x + x - 2 + x - 4 + x - 6 + x - 8 = 540$

$5 x - 20 = 540$

$5 x = 560$

$x = 112$