In circle $O$, $\overline{PN}$ and $\overline{GA}$ are diameters and m$\angle GOP=78^\circ$. How many degrees are in the measure of $\angle NGA$? [asy]
draw((0,1)..(1,0)..(0,-1)..(-1,0)..cycle);
draw((.777,.629)--(-.777,-.629));
draw((-.777,.629)--(.777,-.629));
draw((.777,.629)--(-.777,.629));
label("$O$",(0,0),S);
label("$N$",(.777,.629),NE);
label("$A$",(.777,-.629),SE);
label("$P$",(-.777,-.629),SW);
label("$G$",(-.777,.629),NW);
label("$78^\circ$",(0,0),2W);
[/asy]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
In circle $O$, $\overline{PN}$ and $\overline{GA}$ are diameters and m$\angle GOP=78^\circ$. How many degrees are in the measure of $\angle NGA$? [asy]
draw((0,1)..(1,0)..(0,-1)..(-1,0)..cycle);
draw((.777,.629)--(-.777,-.629));
draw((-.777,.629)--(.777,-.629));
draw((.777,.629)--(-.777,.629));
label("$O$",(0,0),S);
label("$N$",(.777,.629),NE);
label("$A$",(.777,-.629),SE);
label("$P$",(-.777,-.629),SW);
label("$G$",(-.777,.629),NW);
label("$78^\circ$",(0,0),2W);
[/asy]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
39^\circ
In circle $O$, $\overline{PN}$ and $\overline{GA}$ are diameters and m$\angle GOP=78^\circ$. How many degrees are in the measure of $\angle NGA$? [asy]
draw((0,1)..(1,0)..(0,-1)..(-1,0)..cycle);
draw((.777,.629)--(-.777,-.629));
draw((-.777,.629)--(.777,-.629));
draw((.777,.629)--(-.777,.629));
label("$O$",(0,0),S);
label("$N$",(.777,.629),NE);
label("$A$",(.777,-.629),SE);
label("$P$",(-.777,-.629),SW);
label("$G$",(-.777,.629),NW);
label("$78^\circ$",(0,0),2W);
[/asy]
train