Two parallel lines are crossed by a transversal. what is the value of k?
k = 9
k = 20
k = 60
k = 71

Step-by-step explanation:

The complete problem is attached.

From the interception of two parallels lines and a transversal, results 8 angles, which are related, there are certain pair of angles that are congruent. We have alternate angles, which can be exterior or interior, we have corresponding angles, and vertical angles, all of those pairs are always congruent.

In the graph, we see that the given angles are alternate exterior angles, which always are congruent. So, we can equalize that pair and solve the equation for k:

Therefore the value of k is 60. The correct answer is the third one.

(Pay attention on the definition we used, just basing on alternate angles we could find a relation to find k, in most of the cases you solve geometric problems like that, looking for the ways to find a relation that allow you to answer the question).

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!