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Problem 17

# Prove that there is no regular polygon with an interior angle whose measure is $155 .$

Answer

## Discussion

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## Video Transcript

Okay. The formula frontier angles of polygon is 1 80 times and minus two. Over. Okay, now that we have this, let's save it 155 degrees. Just that, this equal to the equation, we end up with n equals 360 over 25 25 n equals 360. So this is not an integer value in this case.