Question

Use the Law of Sines to find the missing angle of the triangle.

Find the measure of 9 years ago

Answer 1

Just substitute the values in the law of sines.

Answer 2

sin(A)/a = sin(C)/c

plug in the given info to get

sin(31)/44 = sin(C)/83

now solve for angle C

sin(31)/44 = sin(C)/83

83*sin(31)/44 = sin(C)

0.97154909585 = sin(C) ... use a calculator here

sin(C) = 0.97154909585

C = arcsin(0.97154909585)

C = 76.2999941 ... use a calculator here

C = 76.3

Now use this to find angle B

A+B+C = 180

31 + B + 76.3 = 180

B + 107.3 = 180

B = 180 - 107.3

B = 72.7

So angle B is 72.7 degrees