Question 1157698: In ΔRST, angle R = 140° and side s = (3/4)r. Find the measures of angles S and T. Found 2 solutions by MowMow, ikleyn:Answer by MowMow(42) (Show Source):
You can put this solution on YOUR website! Using the Law of Sines
r/SinR = s/SinS
r/Sin140 = 2/SinS = (3/4)r/SinS
the r's cancel,
so 1/Sin140 =(3/4)/SinS
SinS = (3/4)SinR = (3/4)Sin140 = 0.4821
S = arcSin(0.4821)
S = 11.2 degrees
T = 180 - 140 - 28.8
T = 11.2 degrees
You can put this solution on YOUR website! .
In ΔRST, angle R = 140° and side s = (3/4)r. Find the measures of angles S and T.
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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°
