Question

What is the sum of the interior angles of a nonagon?

900°

1620°

1440°

1260°

Answer 1

If a polygon has
`n` sides, the sum of its interior angles is

`(n-2)* 180^\circ`

A nonagon (from greek "
`\varepsilon\\u\\u\varepsilon\alpha`", nine and "
`\gamma\omega\\u o \\u`", angle) has nine sides, so
`n=9`

If you plug these value into the formula for the sum of inner angles, you have

`(n-2)* 180^\circ = (9-2)* 180^\circ = 7* 180^\circ = 1260^\circ`

Answer 2

The answer is 1260 I took the quiz

Explanation: