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Answer:

C.d=125

Step-by-step explanation:

We are given that two parallel lines r and s intersect by  a transversal line q.

We have to find the value of d.

Vertical angles: When two lines intersect then the pair of opposite angles formed by intersecting lines are called vertical angles.

Vertical angles theorem:It states that vertical angles that are opposite to each other formed by two intersecting lines are congruent.

d and 125 degrees are vertical angles because these angle formed by two intersecting lines q and s and opposite to each other.

Therefore, by vertical angles theorem

[tex]d=125^{\circ}[/tex]

Hence, the value of [tex]d=125^{\circ}[/tex].

Option C is true.

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