Mathematics, 04.06.2020 22:01 jadebetancourt
Angie 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.
line AB intersecting line GH at K
Angie's Proof
StatementJustification
1. Segment GH intersects segment AB at K1. Given
2. m∠AKG + m∠GKB = 180°
m∠GKB + m∠HKB = 180°2. Definition of Supplementary Angles
3. m∠AKG + m∠ GKB = m∠GKB + m∠HKB3. Substitution Property
4. m∠AKG = m∠HKB4. Subtraction Property
Becky's Proof
StatementJustification
1. Segment GH intersects segment AB at K1. Given
2. m∠AKG + m∠GKB = 180°
m∠GKB + m∠HKB = 180°2. Angle Addition Postulate
3. m∠AKG + m∠ GKB = m∠GKB + m∠HKB3. Substitution Property
4. m∠AKG = m∠HKB4. Subtraction Property
Answers: 1
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