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:
p = q
Step-by-step explanation:
Let m and n are the parallel lines cut by the transversal t, ( shown in the diagram )
Such that, angle p is located in the upper right exterior next to the line t, and angle q is located in the bottom left exterior corner of the line t.
That is, angle p and q are alternate exterior angle,
∵ By the alternate exterior angle theorem,
p = q
i.e. LAST OPTION is correct.