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3 years ago

In the figure, lines I and mare parallel lines cut by transversal p.

Mathematics

1 answer:

PolarNik [594]3 years ago

3 0

Answer:

The statement which justifies Andrea's statement is "Corresponding angles are congruent" ⇒ C

Step-by-step explanation:

If two parallel lines intersected by a line, then there are some pair of angles are formed

Corresponding angles that are congruent

Alternate interior angles that are congruent

Alternate exterior angles that are congruent

Consecutive interior angles that are supplementary

In the given figure

∵ Lines l and m are parallel

∵ They are cut by transversal p

∵ ∠2 and ∠3 are in the corresponding position

→ By using the 1st rule above

∵ Corresponding angles are congruent

∴ ∠2 ≅ ∠3

∴ m∠3 = m∠2

∵ m∠2 = 40°

∴ m∠3 = 40°

The statement which justifies Andrea's statement is "Corresponding angles are congruent"

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