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What is the value of d?

d = 55
d = 75
d = 125 d = 155

PLEASE ANSWER

What is the value of d? d = 55 d = 75 d = 125 d = 155 PLEASE ANSWER-example-1
User Schouk
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2 Answers

4 votes

Check the picture below.

What is the value of d? d = 55 d = 75 d = 125 d = 155 PLEASE ANSWER-example-1
User Srijani Ghosh
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5.3k points
4 votes

Answer:

C.d=125

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


d=125^(\circ)

Hence, the value of
d=125^(\circ).

Option C is true.

User Protasm
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5.2k points