With pre-calc? explain your answer and i'll mark the brainliest.
> in the following triangle, θ = 60°. find the values of the angles b and b'.

By the law of sines, we have

You might be tempted to conclude that , but the picture clearly indicates otherwise.

The triangle on the left containing angle is isosceles, which tells us that the angle directly adjacent to is congruent to angle and thus has the same measure. Angles and are therefore supplementary and

It's also true that

for any angle , so there's no issue here and it's perfectly fine that the equation above has two possible solutions.

So all we have to do is solve for one of those angles and we get the other for free by adding/subtracting 180 accordingly.

Then .