Question

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

Answer 1

Answer:

C. k=60

Step-by-step explanation:

First, we need to identify if the value of the angles given have a relationship. We can see we have a pair of alternate exterior angles, which means they are congruent (equal). Now, we can write out our equation and solve.

(2k+11)=131

2k+11=131

    -11  -11

2k= 120

2     2

 k=60

From our solving, we have concluded that k=60 would be the correct option. I really hope this helped, and let me know if you have any further questions or see any mistakes. :))

Answer 2

Answer:

k= 60

Step-by-step explanation:

The angles are alternate exterior angles and alternate exterior angles are equal when the lines are parallel.

2k+11 = 131

Subtract 11 from each side

2k+11-11 =131-11

2k =120

Divide by 2

2k/2 =120/2

k = 60