Answer
Statements
2. m$\angle$1=m$\angle$2 and m$\angle$3=m$\angle$4
4. m$\angle$2+m$\angle$3=90$^{\circ}$
6. $\angle$1 and $\angle$4 are complimentary
Reasons
1. Given
3. Given
5. Substitution Property of Equality
Work Step by Step
Statements 1 and 3 are given in the problem. Statement 2 is proven using the definition of congruent angles. Statement 4 is made by applying the definition of complimentary angles. Use substitution to prove statement 5. Finally use the definition of complimentary angles again to come to the desired conclusion in statement 6.