Question

lines (overleftrightarrow{bg}), (overleftrightarrow{tl}), and (overleftrightarrow{hk}) intersect line (overleftrightarrow{pc}) as shown. which of the following describes the relationship between (angle brs) and (angle tsr)? corresponding angles alternate interior angles alternate exterior angles consecutive interior angles

Explanation:

Step1: Recall angle - relationship definitions

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others. Alternate interior angles are between the two lines and on opposite sides of the transversal. Alternate exterior angles are outside the two lines and on opposite sides of the transversal. Consecutive interior angles are between the two lines and on the same side of the transversal.

Step2: Analyze the position of ∠BRS and ∠TSR

∠BRS and ∠TSR are between the lines BG and TL and on the same side of the transversal PC.

Answer:

Consecutive interior angles