


Online Geometry
Problem 658: Triangle, Altitudes, Diameter, Circle,
Angles. Level: High School, Honors Geometry, College,
Mathematics Education



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.






