Question

What is the value of d?

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

PLEASE ANSWER

Answer 1

Check the picture below.

Answer 2

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.