Linear pair angles, which are angles that together form a straight line are
supplementary angles.
The one that completed the proof incorrectly is <u>Becky</u>.
Reasons:
The two column proof is presented as follows;
Statement Reason
1. Segment GH intersects segment AB at K 1. Given
2. m∠AKG + m∠HKB = 180° 2.Definition of Supplementary Angles
m∠GKB + m∠HKB = 180°
3. m∠AKG + m∠HKB = m∠GKB + m∠HKB 3. Substitution property
4. m∠AKG = m∠HKB 4. Subtraction Property
The difference between Angie's Proof and Becky's Proof is in Statement 2.
- Angie states that; m∠AKG + m∠HKB = 180° and m∠GKB + m∠HKB = 180° by definition of Supplementary Angles
- Becky states that; m∠AKG + m∠HKB = 180° and m∠GKB + m∠HKB = 180° by Angle Addition Postulate
Becky's proof is incorrect because the measure of angles m∠AKG and
m∠HKB and m∠GKB and m∠HKB are not given, therefore, the use of the
reason of Angle Addition Postulate in statement 2. is incorrect.
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