Answer: 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
[tex]x+25^{\circ}=85^{\circ}[/tex]
Subtract [tex]25^{\circ}[/tex] from both the sides , we get
[tex]x=85^{\circ}-25^{\circ}=60^{\circ}[/tex]
Hence, the measure of angle x = 60 degrees
