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il63 [147K]
3 years ago
12

Proving Vertical Angles Are Congruent

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0

Answer:

Statements:                                                 Reasons:

1) ∠2 and ∠4 are vertical angles               given

2) limes <em>m </em>and <em>n </em>intersect at <em>P                    </em>definition of vertical angles

3) ∠3 and ∠4 are linear pair                       definition of linear pair

4) ∠2 and ∠3 are linear pair                       definition of linear pair

5) m∠3 + m∠4 =180                                     angle addition postulate

6) m∠2 + m∠3 =180                                     angle addition postulate

7) m∠2 + m∠3 = m∠3 + m∠4                   substitution property

8) m∠2 = m∠4                                             subtraction property

9) ∠2 ≅ ∠4                                                 definition of congruent(≅) angles

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