Questions: Complete Proofs #1-#4 in Two Column Form 1. Given: angle 1 and angle 4 are supplementary Prove: angle 2 ≅ angle 3

Transcript text: Complete Proofs \#1-\#4 in Two Column Form 1. Given: $\angle 1$ and $\angle 4$ are supplementary Prove: $\angle 2 \cong \angle 3$

Solution

Step 1: Identify Given Information

Step 2: Define Supplementary Angles

Step 3: Identify Vertical Angles

Step 4: Substitute Vertical Angles

Step 5: Define Supplementary Angles Again

Step 6: Define Supplementary Angles Again

Step 7: Conclude Angles are Congruent

Statement: ∠2 ≅ ∠3.
Reason: If two angles are supplementary to the same angle, then they are congruent.

∠2 ≅ ∠3

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