Statements Reasons

1. <1 and <2 are complementary 1. Given
2. m<1 +m<2 = 2.
3. <1 <4 3. Given
4. m<1 = m<4 4. Definition of congruence
5. <2 <3 5.
6. m<2 = m<3 6. Definition of congruence
7. m<4 + m<3 = 7.
8. <3 and <4 are complementary 8. Definition of Complementary Angles
Complete the following proof. You may use an answer more than once. You will not use all the possible answers.

1 answer

Statements Reasons
1. <1 and <2 are complementary 1. Given
2. m<1 +m<2 = 2.
3. <1 <4 3. Given
4. m<1 = m<4 4. Definition of congruence
5. <2 <3 5. Definition of Complementary Angles
6. m<2 = m<3 6. Definition of congruence
7. m<4 + m<3 = 7. Algebraic Substitution
8. <3 and <4 are complementary 8. Definition of Complementary Angles