Question

Each of these four diagrams shows a pair of parallel lines intersected by a transversal that forms the angles shown.

Complete the equations to make them true.
Move the correct answer to each box. Not all answers will be used.
60 90 120 180
X=?
X+Y=?

Answer 1

60 or 180 degrees

Explanation:

In this case, we can see that the angle marked as 60 degrees is a vertical angle to the angle marked as X degrees 1. Therefore, X = 60 degrees.

Also, we can see that the angles marked as X and Y together form a pair of alternate interior angles 1. Therefore, X + Y = 180 degrees.