Use the drawing below as needed to answer the question. Three lines form 8 labeled angles.
Line m and line n appear parallel. Line m is to the left of line n and both lines start at the bottom and go up and to the right. Line k starts to the left of both m and n and travels down and to the right intersecting m and then intersecting n.
∠1 is formed by the top side of k and the top side of m.
∠2 is formed by the bottom side of k and the top side of m.
∠3 is formed by the top side of k and the bottom side of m.
∠4 is formed by the bottom side of k and the bottom side of m.
∠5 is formed by the top side of k and the top side of n.
∠6 is formed by the bottom side of k and the top side of n.
∠7 is formed by the top side of k and the bottom side of n.
∠8 is formed by the bottom side of k and the bottom side of n.
Given:
m ∥ n
transversal k
m∠3 = (7x + y)°
m∠5 = (6x + 5y)°
m∠6 = (5x + 7y)°
Find: x, y, and
m∠7
in degrees