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? (4 points)

p = 2q
p = 180 degrees − q
p = q
q = 180 degrees − p

Answer 1

Step-by-step explanation: the answer

let p' be the corresponding angle of the angle p (that is because of the prallelism and the transversal, look the image)

but p' and p are correspondant angles implies p'=p,

looking at the figure, p' and q are opposite angles

so q=p' and p'=p implies q=p

the answer is

p = q