Find the relationships between the angles and use corresponding theorems and postulates.
x=70 by the Alternate Interior Angles Theorem
Practice makes perfect
Looking at the given diagram, we can see that the given angles are nonadjacent interior angles that lie on opposite sides of a transversal. This means that they are alternate interior angles.
Furthermore, we see that the lines are parallel. Therefore, according to the Alternate Interior Angles Theorem, the angles are congruent. Since they are congruent, they have the same measure.
2x-15= x+55
Let's solve this equation.
