Question 1157698
.
In ΔRST, angle R = 140° and side s = (3/4)r. Find the measures of angles S and T.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~



    The solution in the post by @MowMow is unclear and needs to be polished.

    Below is the solution in the polished form as it should be presented.



Using the Law of Sines


r/sin(140°) = s/sin(S) = ((3/4)r)/sin(S)
the r's cancel,
so 1/sin(140°) =(3/4)/sin(S)
sin(S) = (3/4)*sin(140°) = 0.4821
S = arcsin(0.4821)
S = 28.82°
T = 180° - 140° - 28.82°
T = 11.18°