Question

How many right angles does a hexagon have?

Answer 1

Zero in a regular hexagon because the angles are all `120°`

Explanation:

A hexagon has six sides, and the sum of interior angles of a polygon can be calculated in the formula: `180(n - 2)`, where `n` is the number of sides in the polygon.

Since a hexagon has six sides, the sum of interior angles is

`180(6-2)=180(4)=720`,

If it is a regular hexagon, all the sides and angles are equal.

so each angle of a regular hexagon is `720/6=120`.

Thus, a regular hexagon has zero right angles.

Answer 2

It is only possible for a hexagon to have right angles if it is NOT a regular hexagon, which has been discussed in another answer.

Explanation:

An irregular hexagon can have 1,2,3,4 or 5 right angles. Try drawing different shaped hexagons using different numbers of right angles to show this for yourself.

It is possible to have 5 angles of `90°` then the last one will be `270°`

(`5 xx 90° +270° = 720°`)