In triangle RST, angle R =140 degrees and s =3/4 r . Find the measures of angle S and angle T.

Answer 1

Law of sines: r/sin R=s/sin S

So r/sin 140=3r/(4*sin S)

4*sin S=3*sin 140

so sin S = .482 and S = 28.82 degrees. T = 180-140-28.82=11.18 degrees.