geometry help with circles?

Question

"HF" is the diameter of "O"

If mHG = 44, then m2 =

m = measurement

sorry to ask, i really need help. you don't even have to tell me the answer if you want. i just need steps to accomplish it.

heres the diagram:

http://img147.imageshack.us/my.php?image=geometrykd6.jpg

thanks any help is greatly appreciated

Answer 1

The measure of arc HG is 44 degrees.
Angle HEG is an inscribed angle and its measure is half the measure of the arc or 22 degrees.
Since HF is a diagonal, angle HEF is inscribed in a semicircle, so its measure is 90 degrees.
So the measure of angle 2 is 90 - 22 = 68 degrees.