#15
Given ∠AEB≅∠DEC
Prove ∠AEC≅DEB
STATEMENTS REASONS
1. ∠AEB≅∠DEC 1. Given
2. __________ 2. Definition of congruent angles
3. __________ 3. Angle Addition Postulate
4. __________ 4. Substitution Property of Equality
5. __________ 5. Angle Addition Postulate
6. __________ 6. Transitive Property of Equality
7. ∠AEC≅DEB 7. Definition of congruent angles
m∠AEC=m∠DEB m∠AEB=m∠DEC m∠DEB=m∠AEB+m∠BEC m∠DEB=m∠DEC+m∠BEC m∠AEC=m∠AEB+m∠BEC
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