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Two parallel lines are crossed by a transversal . What is the value of k?

Two parallel lines are crossed by a transversal . What is the value of k?-example-1

2 Answers

7 votes

Answer:

k = 60

Explanation:

2k + 11 is a same side corresponding angle, hence

2k + 11 = 131 ( vertically opposite angles )

subtract 11 from both sides

2k = 120 ( divide both sides by 2 )

k = 60


User Dan Alexander
by
8.3k points
6 votes

Answer:

Option C. k = 60

Explanation:

There are two lines Z and Y and crossed by a transverse x.

We have to find the value of k.

Since opposite angle of ( 2k + 11 ) is corresponding angle of 131°

so opposite angle of ( 2k + 11 ) will be = (2k + 11)

and corresponding angles are equal in measure.

So 2k + 11 = 131

2k = 131 - 11

2k = 120

k = 60

Option C k = 60 is the answer.

User Foch
by
8.6k points