Еhere are n unparallel lines in pairs on a plane. Prove that the angle between two of them is not more then (180°/n).
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Expert's answer
2010-05-31T11:11:34-0400
Let's take a random point on plane and draw lines through it which will be parallel to given lines. The drawn lines will divide a plane into 2n angles which in a sum give 360°. That is why one of those angles do not exceed (180°/n).
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