2.2.2 Geometric Proof − Practice (continued)
3. Write a justification for each step, given that ∠ 1 and ∠ 2 are complementary, ∠ 2 and ∠ 3 are complementary.
4. Write a justification for each step, given that m ∠ 1 ≅ m ∠ 2, m ∠ 3 = 110º, and ∠ 2 and ∠ DBA are supplementary.
1. ∠ 2 and ∠ DBA are supplementary 2.m ∠ 2 + m ∠ DBA = 180º 3.m ∠ 1 + m ∠ 3 = m ∠ DBA 4.m ∠ 2 + m ∠ 1 + m ∠ 3 = 180º 5.m ∠ 1 ≅ m ∠ 2 6.m ∠ 2 + m ∠ 2 + m ∠ 3 = 180º 7.m ∠ 3 = 110º 8.m ∠ 2 + m ∠ 2 + 110º = 180º 9. 2(m ∠ 2) + 110º = 180º 10. 2(m ∠ 2) = 70º 11.m ∠ 2 = 35º
1. ∠ 1 and ∠ 2 are complementary, and ∠ 2 and ∠ 3 are complementary
2.m ∠ 1 + m ∠ 2 = 90º 3.m ∠ 2 + m ∠ 3 = 90º 4.m ∠ 1 + m ∠ 2 = m ∠ 2 + m ∠ 3 5.m ∠ 1 = m ∠ 3
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