Question

question 1
choose the term that best describes the pair of angles.
<10 and <4 are alternate interior angles.
<9 and <4 are select angles.
<10 and <5 are select angles.
<7 and <1 are select angles.
<8 and <9 are select angles.
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Explanation:

Step1: Recall angle - pair relationships

When two lines are cut by a transversal, different angle - pair relationships exist such as corresponding, alternate interior, alternate exterior, and same - side interior angles.

Step2: Analyze ∠9 and ∠4

∠9 and ∠4 are corresponding angles. Corresponding angles are in the same relative position with respect to the transversal and the two lines.

Step3: Analyze ∠10 and ∠5

∠10 and ∠5 are alternate exterior angles. Alternate exterior angles are on the outside of the two lines and on opposite sides of the transversal.

Step4: Analyze ∠7 and ∠1

∠7 and ∠1 are same - side interior angles. Same - side interior angles are on the inside of the two lines and on the same side of the transversal.

Step5: Analyze ∠8 and ∠9

∠8 and ∠9 are adjacent angles. Adjacent angles share a common vertex and a common side.

Answer:

∠9 and ∠4 are corresponding angles.
∠10 and ∠5 are alternate exterior angles.
∠7 and ∠1 are same - side interior angles.
∠8 and ∠9 are adjacent angles.