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Marina86 [1]
2 years ago
15

A regular hexagon has 18 sides calculate the size of each interior

Mathematics
1 answer:
Liula [17]2 years ago
7 0

Answer:

160 °

Step-by-step explanation:

An alternative method is to use the exterior angle.

the sum of the exterior angles is ALWAYS 360 °

So you can find the size of the exterior angles of a regular polygon quite easily:

If there are 18 sides ( n = 18 ) , then each exterior angle is:

\frac{360}{n} =\frac{360}{18} = 20°

The sum of the exterior and interior angles is 180° because they are adjacent angles on a straight line.

∴ each interior angle is 180° - 20° = 160°

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