# How many right angles does a hexagon have?

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18
Dec 22, 2016

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°)

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14
Dec 22, 2016

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: $180 \left(n - 2\right)$, where $n$ is the number of sides in the polygon.

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

$180 \left(6 - 2\right) = 180 \left(4\right) = 720$,

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

so each angle of a regular hexagon is $\frac{720}{6} = 120$.

Thus, a regular hexagon has zero right angles.

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