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gayaneshka [121]
3 years ago
12

Proving Parallel Lines with Alternate Exterior Angles

Mathematics
1 answer:
notsponge [240]3 years ago
8 0

Answer:

∠1  ≅ ∠2  {}and ∠1  ≅ ∠3 also  ∠3 ≅ ∠2, therefore;

Line p is parallel to line q    using corresponding angles postulate                

Step-by-step explanation:

The given information are;

Given ∠1 ≅ ∠2

Prove p ║ q;

Statement {}                                               Reason

∠1  is congruent to ∠2  {}                                Given

∠1  is congruent to ∠3  {}                                Alternate angles are congruent

∠3  is congruent to ∠2  {}                               Transitive property

∠3  and ∠2 are corresponding angles  {}      Angles on the same side of a transversal

Line p is parallel to line q   {}                          Corresponding angles postulate.

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