Complete the proofs below by filling in the missing statements and reasons. 10. Given: 21 and 22 form a linear pair;

21 and 23 are supplementary

remont

2

3

Prove: 22 23

Statements

Reasons

1. Z1 and 2 form a linear pair

1.

2. 21 and 22 are supplementary

2.

3.

mZ1 + m2 = 180°

3.

4. Z1 and 23 are supplementary

4.

5.

mZ1 + m23 = 180°

5.

6.

m21 + m2 = mZ1 + m23

6.

7. m2 = m_3

7.

8. Z2 Z3

3901918.