Question

Lines a and b are parallel.

Parallel lines a and b are cut by transversals s and t. The angles formed by the intersection of lines a, s, and t, clockwise from top left are blank, 60 degrees, blank, blank, blank, blank; formed by lines b and s are blank, blank, 124 degrees, blank; formed by lines b and t are 4 x degrees, blank, blank, blank.


What is the value of x?
15
16
56
64

Answer 1

Because a and b are parallel, the angle at b with transversal t corresponding to the 60° angle on a is also 60°. So 4x = 60 ⇒ x = 15.