Question

In the following triangle, find the values of the angles B and B', which are the best approximations to the solutions of this ambiguous case.

Answer 1

the answer is B because the bottom has to be supplementary to 180 degrees because their supplementary angles

Answer 2

Option B. B = 70.05° B' = 109.95°

Explanation:

By the sine rule in a given triangle

sin 45°/16.5 = sinB/22

1/(1.414×16.5) = sinB/22

sinB = 22/(1.414×16.5) = 0.94

`B = sin^(-1)(0.94)`

B = 70.05°

Now we know B' = 180 - Supplementary angle of B'

and B = B' ( opposite angles of equal sides are equal)

B' = 180 - B = 180 - 70.05 = 109.95°

Therefore option B is the answer.