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
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