Angie and Becky each completed a separate proof to show that the measures of vertical angles AKG and HKB are equal. Who complete
d 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°
m∠GKB + m∠HKB = 180° 2. Definition of Supplementary Angles
3. m∠AKG + m∠ GKB = m∠GKB + m∠HKB 3. Substitution Property
4. m∠AKG = m∠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 + m∠HKB = 180° 2. Angle Addition Postulate
3. m∠AKG + m∠ GKB = m∠GKB + m∠HKB 3. Substitution Property
4. m∠AKG = m∠HKB 4. Subtraction Property
Angie's Proof
Statement Justification
1. Segment GH intersects segment AB at K 1. 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∠HKB 3. Substitution Property
4. m∠AKG = m∠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 + m∠HKB = 180° 2. Angle Addition Postulate
3. m∠AKG + m∠ GKB = m∠GKB + m∠HKB 3. Substitution Property
4. m∠AKG = m∠HKB 4. Subtraction Property
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
we would like to figure out the derivative of the following:
to do so, let,
By simplifying we acquire:
use law of exponent which yields:
take derivative in both sides:
use sum derivation rule which yields:
By constant derivation we acquire:
use exponent rule of derivation which yields:
simplify exponent:
two negatives make positive so,
by law of exponent we acquire:
simplify addition:
and we are done!