Online Geometry Problem 674: Triangle, Altitude, Angles.
Level: High School, Honors Geometry, College,
Mathematics Education

The figure shows a triangle ABC with the
altitude BH and a point D on BD. If angle ABH = 5x, angle CBH = 3x,
angle ACD = 2x, and angle CAD = x. Find x.
This entry contributed by Alejandro Astudillo.