Question

A pair of parallel lines is cut by a transversal, as shown:

A pair of parallel lines is shown cut by a transversal. Angle p is located in the upper right exterior next to the transversal, and angle q is located in the bottom left exterior corner of the transversal.

Which of the following best represents the relationship between angles p and q?  p = 180 degrees − q

 q = 180 degrees − p  p = 2q  p = q

Answer 1

P = Q
because they both are similar angles

Hope this helps,
xXharleyquinn04Xx

Answer 2

p = q

Explanation:

By the alternate exterior angle theorem,

When two parallel lines are cut by the same transversal line then the alternate exterior angles formed are equal in measures,

Here, two parallel lines are cut by the same transversal ( in the given diagram )

Such that, p and q are alternate exterior angles,

Thus, by the above theorem,

p = q

LAST option is correct.