Angle and Becky each completed a separate proof to show that the measures of vertical angles AKG and HKB are equal. Who completed the proof incorrectly? Explain.
Angie's Proof
Statement
Justification
1. Segment GH intersects segment AB at K 1. Given
2. m AKG + m GKB 180°
2. Definition of Supplementary Angles
m. GKB + m2HKB 180°
3. m AKG + m2 GKB = m GKB + m2HKB 3. Substitution Property
4. m AKGm HKB
4. Subtraction Property
Becky's Proof
Statement
Justification
1. Segment GH intersects segment AB at K 1. Given
2. m AKG + m GKB = 180°
m GKB + m2HKB - 180°
2. Angle Addition Postulate
3. m AKG + m. GKB = m GKB + m2HKB 3. Substitution Property
4. m AKGm HKB
4. Subtraction Property