+0  
 
+1
99
1
avatar+46 

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.

 Apr 2, 2021
 #1
avatar+319 
0

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:

\(9(7)+21=\boxed{84}\)

\(\)

 Apr 2, 2021

19 Online Users