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If line t is a transversal of lines l and m, name the angle relationship of the given angle pairs.

∠1 and ∠3

∠8 and ∠4

∠2 and ∠3

If line t is a transversal of lines l and m name the angle relationship of the given angle pairs 1 and 3 8 and 4 2 and 3 class=

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Answer:

[tex]\angle 1\ and\ \angle 3[/tex] are corresponding angles and are congruent to each other.

[tex]\angle 8\ and\ \angle 4[/tex] are alternate exterior angles and thus congruent to each other.

[tex]\angle 2\ and\ \angle 3[/tex] are interior angles on the same side, and they are supplementary(sum=180°).

Step-by-step explanation:

Given:

Line [tex]l\parallel m[/tex]

Line [tex]t[/tex] is traversal.

By angle properties we can name the angle relationship of given angle pairs.

[tex]\angle 1\ and\ \angle 3[/tex] are corresponding angles and are congruent to each other.

[tex]\angle 8\ and\ \angle 4[/tex] are alternate exterior angles and thus congruent to each other.

[tex]\angle 2\ and\ \angle 3[/tex] are interior angles on the same side, and thus they are supplementary.

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