Given each definition or theorem, complete each statement. 1. Definition of Congruence: If LD = LE, then 2. Definition of Complementary Angles: If mZ1 + mZ2 = 90, then 3. Definition of Supplementary Angles: If LP and ZO are supplementary angles, then 4. Definition of a Right Angle: If mZ JKL = 90, then 5. Vertical Angles Theorem: If 23 and 24 are vertical angles, then 6. Complement Theorem: If LS and ZT form a right angle, then 7. Supplement Theorem: If LX and ZY form a linear pair, then 8. Congruent Complements Theorem: If 41 is complementary to 42 and 42 is complementary to 24, then 9. Congruent Supplements Theorem: If ZJ is supplementary to ZK and ZJ is supplementary to LL, then Complete the proofs below by filling in the missing statements and reasons. 10. Given: 21 and Z2 form a linear pair; 21 and 23 are supplementary 2 3 Prove: 42 = 23 Statements Reasons 1. 21 and Z2 form a linear pair 1. 2. 41 and 42 are supplementary 2. 3. mZ1 + m42 = 180 3 4. 41 and 23 are supplementary 4 5. mZ1 + m23 = 180 5. 6. mZ1 + m/2 = mZ1 + m43 6. 7. mZ2 = m23 7. 8. 42 = 43 8