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What is the measure of each angle of a regular 17-gon? If necessary, round to the nearest tenth.

Sagot :

For a regular 17-gon, the measure of the internal angles is:

a =  158.8°

How to measure the internal angles?

The measure of the sum of the internal angles of a regular figure of N sides is:

(N - 2)*180°

For the case where N = 17, we have:

(17 - 2)*180° = 2,700°

That is the measure of the sum of the internal angles, and we have 17 of them, so the measure of each angle is:

2,700°/17 = 158.8°

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