Question

given the following picture, identify each of the given angle pairs. if there is no relationship pick none.
<4 and <7
<16 and <11
<2 and <13
<4 and <8
<10 and <7

Explanation:

Step1: Analyze ∠4 and ∠7

They are adjacent angles that form a linear pair. So, they are not in any of the given angle - pair categories (Alternate Interior, Consecutive Interior, Consecutive Exterior, Corresponding).

Step2: Analyze ∠16 and ∠11

There is no specific angle - pair relationship (Alternate Interior, Consecutive Interior, Consecutive Exterior, Corresponding) between them.

Step3: Analyze ∠2 and ∠13

They are Consecutive Interior Angles (they lie between two lines \(p\) and \(q\) and on the same side of the transversal \(r\)).

Step4: Analyze ∠4 and ∠8

They are Corresponding Angles (in the same relative position with respect to the lines \(r\) and \(s\) and the transversal \(q\)).

Step5: Analyze ∠10 and ∠7

There is no specific angle - pair relationship (Alternate Interior, Consecutive Interior, Consecutive Exterior, Corresponding) between them.

Answer:

∠4 and ∠7: None
∠16 and ∠11: None
∠2 and ∠13: Consecutive Interior Angles
∠4 and ∠8: Corresponding Angles
∠10 and ∠7: None