Round your answer to this problem to the nearest degree. in triangle abc, if ∠a = 120°, a = 8, and b = 3, then ∠b = °.a0

∠B = 19°

Step-by-step explanation:

Given : In triangle ABC, if ∠A = 120°, a = 8, and b = 3

We have to find the measure of B that is ∠B

Consider the given triangle ABC,

Using Sine rule ,

For a triangle with measure of angle A, B and C and side  a faces angle A,  

side b faces angle B and  side c faces angle C

we have, a = 8 , b = 3 and ∠A = 120°

Consider first two ratios,

Solve for B, we have,

Simplify, we have,

Taking sine inverse both side, we have,

We have,

Thus, ∠B = 19°

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square