Question

Letters w, x, y, and z are angle measures.

Lines r and s are intersected by line m. At the intersection of lines m and r, clockwise from the top, the angles are w, x, blank, blank. At the intersection of lines m and x, clockwise from the top, the angles are: 92 degrees, y, z, blank.

Which should equal 92° to prove that r ∥ s?

w
x
y
z

Answer 1

w

w is the angle in the same (top) position at the other intersection, so w and 92° are corresponding angles formed by transversal m. If corresponding angles are equal, then r ∥ s.