Answer
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Step 1:
| $c || d$ | Converse of the Same Side Interior Angles Theorem |
Prove: $c || d$ | Statements | Reasons | | :-- | :-- |
Step 2:
| $m angle 3 + m angle 9 = 180^{\circ}$ | Linear pair postulate |
Prove: $m angle 3 + m angle 6 = 180^{\circ}$ | Statements | Reasons | | :-- | :-- |
Step 3:
| $∠ 2 ≅ ∠ 5$ | Transitive property of congruence |
Prove: $angle 2 ≅ angle 1$ | Statements | Reasons | | :-- | :-- |
Final Answer
| $∠ 2 ≅ ∠ 1$ | Transitive property of congruence |
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