perplexus.info :: Geometry : Another Point In A Square

Another Point In A Square (Posted on 2004-06-11)

There is a point M inside a square ABCD such that angle MAB is 60° and angle MCD is 15°. Find angle MBC.

See The Solution Submitted by Brian Smith

Rating: 3.2500 (4 votes)

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Generalization

| Comment 11 of 16 |

As a generalization, letting angle MAB be a, angle MCD be b, and angle MBC be c, it can be shown that:

tan c = (1 - cot a)/(1 - tan b).

Posted by Nick Hobson on 2004-06-12 18:57:21

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