Question

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

Answer 1

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`

`5x-20=540`

`5x=560`

`x=112`