Altitudes AX and BY of acute triangle ABC intersect at H. If angle BAC = 43 degrees and angle ABC = 67 degrees, then what is angle AHC?
"Angle BAC = angle ZAC = 43°
Angle CZA = angle CZB = 90°
So triangle ZAC is a right triangle and angle ZCA is complementary to angle ZAC = 47°
And angle ZCA = angle HCA = 47°"
WORDS OF CPhill