If line segment rs is parallel to line segment mn, then the value of a is

 The correct option is

(B) 74 because ∠TRS and ∠TMN are corresponding angles.

Step-by-step explanation:  Given that the line segment RS is parallel to the line segment MN.

We are to find the value of a.

From the figure, we note that

RS is parallel to MN and TM is a transversal.

So, we get

Now,

Therefore, we get

Thus, the value of a is 74, because ∠TRS and ∠TMN are corresponding angles.

Option (B) is correct.

step-by-step explanation:

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the answer is d

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