Subjects geometry

Angle Pair Cf569D

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1. **Problem Statement:** Identify the type of angle pair formed by angles $\angle 3$ and $\angle 6$ given two lines $m$ and $n$ intersected by a transversal line $l$. 2. **Understanding the setup:** Lines $m$ and $n$ are intersected by line $l$. Angles $\angle 3$ and $\angle 6$ are located at different intersections: $\angle 3$ at the intersection of $m$ and $l$, and $\angle 6$ at the intersection of $n$ and $l$. 3. **Recall angle pair definitions:** - **Alternate Exterior Angles:** Angles on opposite sides of the transversal and outside the two lines. - **Alternate Interior Angles:** Angles on opposite sides of the transversal and inside the two lines. - **Corresponding Angles:** Angles in the same relative position at each intersection. - **Consecutive Interior Angles:** Angles on the same side of the transversal and inside the two lines. 4. **Locate $\angle 3$ and $\angle 6$ positions:** - $\angle 3$ is on the left side of line $l$ at line $m$ intersection, inside the space between $m$ and $n$. - $\angle 6$ is on the right side of line $l$ at line $n$ intersection, outside the space between $m$ and $n$. 5. **Determine the angle pair type:** - Since $\angle 3$ and $\angle 6$ are on opposite sides of the transversal $l$ and one is inside while the other is outside the two lines, they are **Alternate Exterior Angles**. **Final answer:** $\boxed{\text{Alternate Exterior}}$