Complements of Congruent Angles are Congruent
1. / 1 = / 2 . 1. Given.
2. / 1 and / 3 are complementary. 2. Given.
3. / 2 and / 4 are complementary. 3. Given.
4. / 1 + / 3 = 90 degrees. 4. Definition of complementary.
5. / 2 + / 4 = 90 degrees. 5. Definition of complementary.
6. / 1 + / 3 = / 2 + / 4. 6. Substitution.
7. / 1 + / 3 = / 1 + / 4. 7. Substitution.
8. / 3 = / 4 8. Subtraction property.