Hello, the detailed solution is given below.
Lines L and M are parallel. That's why [tex]B[/tex] angle and [tex]50^{o}[/tex] are equal.
What's the Co-Interior Rule? (Known as U Rule)
Co-interior angles lie between two lines and on the same side of a transversal. If the two lines are parallel, then co-interior angles add to give [tex]180^{o}[/tex] and so are supplementary.
After that, [tex]C[/tex] angle found as [tex]85^o[/tex].
As [tex]A[/tex] angle and [tex]C[/tex] angle must be equal due to the parallel, the missing angles as;
[tex]A=85\\B=50\\C=85[/tex]
Good luck! If you have any questions, then feel free to ask in comments!
