Question

which angles are consecutive interior angles?
∠srt and ∠qrt ∠srt and ∠sro
∠por and ∠pom ∠sro and ∠por

Explanation:

Step1: Recall Consecutive Interior Angles Definition

Consecutive interior angles are two angles that lie between two lines (the "interior") and on the same side of a transversal. The two lines are usually parallel, and the transversal crosses them.

Step2: Analyze Each Option

• Option 1: ∠SRT and ∠QRT

These two angles share a common side (RT) and vertex (R), but they are adjacent angles forming a linear pair (they are supplementary and form a straight line), not consecutive interior angles.

• Option 2: ∠SRT and ∠SRO

These angles also share a common side (RS) and vertex (R), and they form a linear pair (supplementary, straight line), not consecutive interior angles.

• Option 3: ∠POR and ∠POM

These angles share a common side (PO) and vertex (O), forming a linear pair (supplementary, straight line), not consecutive interior angles.

• Option 4: ∠SRO and ∠POR

Let’s identify the lines: The two lines are QS (with points Q, R, S) and NP (with points N, O, P). The transversal is TM (with points T, R, O, M).

• ∠SRO: Lies between lines QS and NP (interior) and on one side of transversal TM.
• ∠POR: Also lies between lines QS and NP (interior) and on the same side of transversal TM as ∠SRO.

Thus, these are consecutive interior angles.

Answer:

∠SRO and ∠POR