Question

match each of the following angle pairs with the name of their relationship. <15 and <10 <1 and <13 <4 and <6 <2 and <10

Explanation:

• For $\angle15$ and $\angle10$: There is no geometric relationship (such as alternate - interior, corresponding etc.) that defines this pair based on the standard angle - pair definitions (like for parallel lines cut by transversals).
• For $\angle1$ and $\angle13$: Alternate exterior angles are non - adjacent angles that lie outside the two lines and on opposite sides of the transversal. $\angle1$ and $\angle13$ fit this definition.
• For $\angle4$ and $\angle6$: Alternate interior angles are non - adjacent angles that lie between the two lines and on opposite sides of the transversal. $\angle4$ and $\angle6$ fit this definition.
• For $\angle2$ and $\angle10$: Corresponding angles are in the same relative position (e.g., both upper - right) with respect to the lines and the transversal. $\angle2$ and $\angle10$ fit this definition.

Answer:

$\angle15$ and $\angle10$: No Relationship; $\angle1$ and $\angle13$: Alternate exterior Angles; $\angle4$ and $\angle6$: Alternate Interior Angles; $\angle2$ and $\angle10$: Corresponding Angles