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15 votes
Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to ∠7

Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent-example-1
User Alex Hall
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2.5k points

2 Answers

10 votes
10 votes

See how

  • <7+<5 are linear pairs
  • <5+<3 are also linear pairs

From both

  • <7 and <3 are equal(Corresponding angles)

Similarly

  • <7 nd <6 are equal (Opposite angles)

And

<6 and <2 are corresponding and equal so

  • <7 and <2 are equal
User Francis Cugler
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2.8k points
24 votes
24 votes

congruent angles are of similar measures

congruent angles that are congruent to ∠7:

  • ∠6 ( vertically opposite angles )
  • ∠3 ( corresponding angles )
  • ∠2 ( alternate interior angles )
User Prakash Tiwari
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2.7k points