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| Math Central | Quandaries & Queries |
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Question from Karan: Prove that a convex polygon cannot have more than three acute internal angles. |
Hi Karan,
First look at Walter's response to a question about the external angles of a convex polygon where he shows that the sum of the measures of the external angles in $360^{0}.$
In my diagram below $P, Q$ and $R$ are adjacent vertices of a convex polygon where the interior angle is acute.
What can you say about the external angle at $Q?$ Suppose there are 4 vertices of the convex polygon where the interior angle is acute.
Penny
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