Question

Find and label the measures of each of the three missing angles, A, B and C, below.
Lines I and M are parallel.

Answer 1

Hello, the detailed solution is given below.

Lines L and M are parallel. That's why $B$ angle and $50^{o}$ 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 $180^{o}$ and so are supplementary.

After that, $C$ angle found as $85^o$.

As $A$ angle and $C$ angle must be equal due to the parallel, the missing angles as;

$A=85\\B=50\\C=85$

Good luck! If you have any questions, then feel free to ask in comments!