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Online Geometry
Problem 658: Triangle, Altitudes, Diameter, Circle,
Angles. Level: High School, Honors Geometry, College,
Mathematics Education
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The figure shows a triangle ABC with the
altitudes BD and CE. The circle with diameter AC meets BD at F, and the
circle with diameter AB meets CE extended at G and H. If the measure of
angle CHF is 12 degrees, find the measure of angle AGF.
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