correct answer is: a) 6\;:\;5\;:\;7

Explanation

Here,
∠ BAC = 60°
∠ ABC = 50°
∠ ACB = 70°
So that,
∠ BAC : ∠ ABC : ∠ ACB = 60° : 50° : 70°
\rightarrow 6\;:\;5\;:\;7
Ans: ∠ BAC : ∠ ABC : ∠ ACB = 6\;:\;5\;:\;7\;.

Other ways to ask this same math question are:

1. In triangle ABC, if ∠BAC measures 60°, ∠ABC measures 50°, and ∠ACB measures 70°, what is the ratio of ∠BAC to ∠ABC to ∠ACB?
2. If in triangle ABC, ∠BAC is 60°, ∠ABC is 50°, and ∠ACB is 70°, what is the ratio between these angle measures?
3. Find the ratio of ∠BAC, ∠ABC, and ∠ACB in triangle ABC, given that ∠BAC = 60°, ∠ABC = 50°, and ∠ACB = 70°.