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by Brian Gladman on March 18, 2020

New Scientist Enigma 969 – Same From All Angles

by Susan Denham

From New Scientist #2124, 7th March 1998

For the purposes of this Enigma I shall define a “palindromic angle” as one whose n umber of degrees is a whole number less than 180 and is such that the number remains the same if its digits (or digit) are written in reverse order.

I have drawn an irregular hexagon and a line across it in a similar fashion to the one shown here, however the given picture is not to scale. In my figure, the eight marked angles are different palindromic  angles, and in fact more than two of them are acute.

What (in increasing order) are the six angles of my hexagon?

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