The following “proof” of the vertical angles theorem is invalid. what’s the error in the logic? tell me what’s wrong, not how you would fix it. (2 points) given: lines p and q intersect so that m∠1 + m∠2 = 180°, and m∠2 + m∠3 = 180°. prove: ∠1 ≅ ∠3. statements reasons 1. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180° 1. given 2. m∠1 + m∠2 = m∠2 + m∠3 2. substitution property of equality 3. m∠1 = m∠3 3. subtraction property of equality 4. ∠1 ≅ ∠3 4. vertical angles theorem