In the figure MN | OP and ZOST-73 Find the measure of ZMTS and ZSTN
M
T
73°
S
R
N
ZMTS = 107° and ZSTN = 107°
ZMTS = 107° and ZSTN = 73°
ZMTS = 73° and ZSTN = 73°
O ZMTS = 73° and ZSTN = 107°

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

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step-by-step explanation: