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Geometry Problem 988: Right Triangle, Cevians, Angles, 30 Degrees, Triple Angle. Level: School, College, Mathematics Education

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The figure below shows a right triangle ABC with the cevians AD and CE so that the measure of angle CAD is 30 degrees and angle EDC = 3 angle BAC. Find the measure of angle ACE.
Only elementary geometry is allowed (no trigonometry)
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Geometry Problem 988: Right Triangle, Cevians, Angles, 30 Degrees, Triple Angle

 

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