Given:
m∠4 = m∠2
m∠5 = m∠3
m∠DBE = 180∘
Prove: m∠1 + m∠2 + m∠3 = 180∘
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Mathematics, 30.11.2020 20:00 Bidboidipper
Given:
m∠4 = m∠2
m∠5 = m∠3
m∠DBE = 180∘
Prove: m∠1 + m∠2 + m∠3 = 180∘
Match each numbered statement in the proof to its correct reason.
1. m∠4=m∠2
m∠5=m∠3
m∠DBE=180∘
2. m∠4+m∠1+m∠5=m∠DBE
3. Because m∠DBE=180∘,
m∠4+m∠1+m∠5=180∘.
4. Because m∠4=m∠2 and m∠5=m∠3,
m∠2+m∠1+m∠3=180∘.
5. m∠1+m∠2+m∠3=180∘
Given
Angle Addition Postulate
Transition Property of Equality
Substitution Property of equality
commutative Property of Addition
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