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Geometry Problem 964: Right Triangle, Cevians, Angles, 10, 20, 30 Degrees. Level: School, College, Mathematics Education

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In a right triangle BAC (see figure) cevians BD and CE meet at F so that the measure of angles ACE, ADE, and BCE are 10, 20, and 30 degrees, respectively. Find the measure of angle BFE.
Try to you use elementary geometry (Euclid's Elements)
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Geometry Problem 964: Right Triangle, Cevians, Angles, 10, 20, 30 Degrees

 

Typography Art of Problem 964 using Mobile Apps, iPad

Typography Art of Problem 964 using Mobile Apps, iPad
 

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