In the circle above, the measure of angle DHG can be represented by 7x - 7, and the measure of arc DG can be represented by 9x + 21. The measure of arc DG is ___ degrees.
The measure of an arc is always 2 times the angle of the corresponding inscribed angle, so:
\(2(7x-7)=9x+21\\14x-14=9x+21\\5x=35\\x=7\)
Substitute in to get:
\(9(7)+21=\boxed{84}\)
\(\)
+56 
