Use the Law of Sines to find the missing angle of the triangle. Find measure of angle b given that c=83, a=44 and that measure of angle a = 31. A=76.3 degrees B = 15.8 degrees C = 72.7 degrees,

- Use the Law of SInes to find the measure of angle C:

(sinC) / c = (sinA) / a

sincC = c (sinA) / a

C = sin ⁻¹ (c·sinA / a)

Plugging in numbers:

C = sin⁻¹ (83·sin (31) / 44)

= sin⁻ ¹ (0.97155)

= 76.3°

- We know that the sum of the internal angles of a triangle is 180°, therefore:

B = 180 - (A + C)

= 180 - (31 + 76.3)

= 180 - 107.3

= 72.7°

- Therefore the corret answer is C: angle B is 72.7°