Apair of parallel lines is cut by a transversal: what is the measure of angle x? 50 degrees 55 degrees 60 degrees 80 degrees

60 degrees

Step-by-step explanation:

We know that when a traversal line passes through two parallel lines , then the alternate interior angles are equal ( or congruent).   (1)

From the given picture,we have two parallel line intersecting by a transversal line, making a pair of alternate interior angles as x+25° and 85°.  (2)

From (1) and (2), we have

Subtract from both the sides , we get

Hence, the measure of angle x = 60 degrees

x+y=90

x=30-y=x

step-by-step explanation:

if you understand you will get the answer