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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
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