SOLUTION: using law of sines, find all missing measurements in the triangle JSR angle J= 36 degrees side JS= 72 side RS= 48

Question 250733: using law of sines, find all missing measurements in the triangle JSR
angle J= 36 degrees
side JS= 72
side RS= 48
Found 2 solutions by JimboP1977, drk:
Answer by JimboP1977(311) (Show Source): You can put this solution on YOUR website!
The law of sines states: where a,b,c are the lengths of the triangle and A, B, C are the angles opposite the sides.

We know that the interior angles of a triangle always add up to 180 so angle S must be

Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Law of sines states

Notice that after draw the picture angle J and side RS are connected. We have

Using trig tables or a calculator, we get
R ~ 61.85 degrees.
Since angles add to 180, S = 82.15 degrees
--
using law of sines again, we can find side JR

JR ~ 80.9
angle J: 36
angle R: 61.85
angle S: 82.15
side JS: 72
side JR: 80.9
side RS: 48
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