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!