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hallmansean04
15.10.2019 •
Mathematics
*will give brainliest! *
a conjecture and the paragraph proof used to prove the conjecture are shown. drag an expression or statement to each box to complete the proof (photo attached)
the options for the boxes are: angle congruence postulate, linear pair postulate, m∠2, m∠3,∠3, and ∠2
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Ответ:
Linear Pair Theorem
m∠2
∠3
definition of congruent angles
Step-by-step explanation:
1. ∠1 and ∠2 form a linear pair of angles, so ∠1 and ∠2 are supplementary by the Linear Pair Theorem.
2. Therefore, m∠1 + m∠2 = 180°, by the definition of supplementary angles.
3. It is given that ∠2 ≅ ∠3, so m∠2 = m∠3 by the definition of congruent angles.
4. By substitution, m ∠1 + m∠3 = 180°, so ∠1 and ∠3 are supplementary by the definition of supplementary angles.
Ответ:
ANSWER: X=9