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Infographic Geometry Problem 1174: Triangle, Quadrilateral, Double, Triple, Angle, Congruence, Excenter, Angle Bisector. Level: High School, College, Mathematics Education

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In the figure, AB = BD, the measure of angle BDC is double the measure of angle BAC and the measure of angle CBD is triple the measure of angle ABC. If O is the excenter of the triangle ABC corresponding to AC (see the figure), find the measure of angle AOB. Use only elementary geometry (Euclid's Elements). . See also: Artwork of Problem 1174
 

Infographic Geometry Problem 1174: Triangle, Quadrilateral, Double, Triple, Angle, Congruence, Excenter, Angle Bisector

 

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Last updated: Dec 26, 2015 by Antonio Gutierrez

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