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 - pair definitions

Alternate interior angles are non - adjacent angles that lie between two lines and on opposite sides of a transversal. Corresponding angles are in the same relative position with respect to the lines and the transversal. Alternate exterior angles lie outside the two lines and on opposite sides of the transversal. Consecutive interior angles lie between the two lines and on the same side of the transversal.

Step2: Analyze the position of ∠BRS and ∠TSR

∠BRS and ∠TSR are non - adjacent angles that lie between lines $\overleftrightarrow{BG}$ and $\overleftrightarrow{TL}$ and on opposite sides of the transversal $\overleftrightarrow{PC}$.

Answer:

Alternate interior angles