Question

What is the sum of the measures of the interior angles of a pentagon?

Answer 1

Sum of the interior angles of a pentagon `=540^@`

Explanation:

The general formula for the sum of the interior angles of an n-gon (with `n>= 3`) is
`color(white)("XXX")180^@xx(n-2)`

A pentagon has `5` sides (i.e. `n=5`)

The diagram below may help to understand why this formula works: