Question

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

Answer 1

They would be alternate exterior so they would have to to be equal
2k + 11 = 131
-11 -11
2k = 120
---- -----
2k 2k
k = 60

Answer 2

Answer:

The value of k is 60

Option 3 is correct.

Step-by-step explanation:

Given that two parallel lines cut by transversal line

In the figure the two angles are labelled.

we have to find the value of k

Alternate Exterior Angles are those pair of angles on the outer side of each of those two lines but lie on opposite sides of the transversal line.

Here these two angles formed on the outer side and lie on opposite sides

As alternate exterior angles are equal if lines are parallel.

Therefore, the two angles labelled are equal

⇒ $2k+11=131$

Subtract 11 from both sides

$2k=131-11=120$

Divide by 2 throughout the equation

$k=\frac{120}{2}=60$

Hence, the value of k is 60

Option 3 is correct.