Points D, E, and F are the midpoints of sides BC, CA, and AB, respectively, of triangle ABC respectively, and CZ is an altitude of the triangle. If angle BAC = 71, angle ABC = 39, and angle BCA = 70, then what is angle EZD+angle EFD in degrees?
In mathematics, you don't understand things. You just get used to them.
I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.