Question

6. Find the measure of each exterior angle of a
regular polygon of
(1) 18 sides (it) 20 sides​

Answer 1

Answer:

18 degrees

Step-by-step explanation:

The measure of each exterior angle of a regular 20-gon is 18°

Answer 2

Answer:

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:

360°n=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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