perplexus.info :: Geometry : Hardest easy geometry problem

Hardest easy geometry problem (Posted on 2016-11-04)

Given: triangle ABC with D on AC and E on BC,
angle CAE = 10°,
angle BAE = 70°,
angle CBD = 20°, and
angle ABD = 60°.

Find angle AED using only elementary geometry (no sines, cosines , or any other trigonometry.)

No Solution Yet Submitted by Jer

Rating: 4.0000 (1 votes)

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Hint: auxiliary bits

Comment 2 of 2 |

Construct point F on CB such that angle DAF = 20

Construct segments AF and DF

AF and BD intersect at G

Construct segment CG

No other point or segments are needed

Posted by Jer on 2016-11-19 08:35:51

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