Answer:
f=h=p=n=118°
e=g=m=o=180°-n=62°
i=k=c=a=34°
b=d=j=l=180°-a=146°
c+e+t=180°
r=t=180°-c-e=180°-34°-62°=84°
q=s=180°-r=96°
r+o+i=180°
84°+62°+34°=180° check
Explanation:
These three situations cover all of the angles:
Where two lines cross, the four angles add to a full circle, 360°. The pairs of opposite angles are equal. The pairs of adjacent angles (aka supplementary angles) add to 180°.
Where a line crosses two parallel lines, the four angles at one vertex equal the corresponding angles at the other vertex.
The interior angles of a triangle add to 180°. (Unless you draw it on a sphere :-).