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Lines m and n are cut by transversal l.

Lines m and n are cut by transversal l. On line m where it intersects line l, 4 angles are created. Labeled clockwise, from uppercase left: angle 1, angle 2, angle 4, angle 3. On line n where it intersects line l, 4 angles are created. Labeled clockwise, from uppercase left: angle 5, angle 6, angle 8, angle 7.
Which angle relationships are correct? Check all that apply.

∠1 and ∠8 are alternate exterior angles.
∠4 and ∠6 are same side interior angles.
∠5 and ∠7 are vertical angles.
∠2 and ∠8 are corresponding angles.
∠3 and ∠6 are alternate interior angles.

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Answer:

From the attached diagrams, the correct options are;

∠1 and ∠8 are alternate exterior angles

∠4 and ∠6 are same side interior angles

∠3 and ∠6 are alternate interior angles

Step-by-step explanation:

The given parameters are;

Line m and line n are cut by a transversal l

The angles formed between lines m and l are ∠1, ∠2, ∠4, and ∠3, while the corresponding angles formed between lines n and l are ∠5, ∠6, ∠8, and ∠7

  • Alternate exterior angles are the angles on the opposite side of a transversal and on the outer side of the two lines crossed by the transversal
  • Same side interior angles are the angles located on the same side of a transversal and on the interior area of two lines crossed by the transversal
  • Alternate interior angles are the angles on the opposite side of a transversal and on the  interior area of the two lines crossed by the transversal.
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Answer:

A, B, and E

Step-by-step explanation:

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