B
Step-by-step explanation:
We are given that line MN and line OP are parallel.
We are also given that ∠OST = 73
Given this we want to find the measure of ∠MTS and ∠STN
∠MTS and ∠OST are supplementary angles
Supplementary angles add up to equal 180°
This means that ∠MTS + ∠OST = 180 ( we can use this equation to solve for the measure of ∠MTS )
∠MTS + ∠OST = 180
∠OST = 73
∠MTS + 73 = 180
subtract 73 from both sides
∠MTS = 107
∠STN and ∠OTS are alternate interior angles.
Alternate interior angles are congruent ( equal to each other )
This means that ∠STN = ∠OTS
Because ∠OTS = 73 and ∠STN = ∠OTS , ∠STN = 73°
In conclusion, ∠MTS = 107 and ∠STN = 73
Therefore the answer is B