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| Math Central | Quandaries & Queries |
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Question from Shriya, a student: All the angles of a polygon are either 155° or 140° |
Hi,
I can help get you started.
Look at one of the vertices $V$ where the internal angle measures $140^{0}.$ The external angle then measures $180^0 - 140^0 = 40^{0}.$
What is the measure of the external angle at a vertex where the internal angle measures $155^{0}?$
Now look at Walter's note about the sum of the measures of the external angles of a convex polygon.
Write back if you need more assistance,
Penny
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