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Given: 23 24
Prove: 21
22
*
4
By the linear pair theorem, 22 is supplementary to 23, which means m/2 + m/3 = 180°. It is given that 23 24, so
definition of congruent angles, m/3 = m/4. Using the substitution property of equality, substitute m/4 in form23 to rew
previous equation as m/2+m/4= 180°. Thus 22 is supplementary to 24 by the definition of supplementary angles. By th
linear pair theorem, 21 is supplementary to 24 'Strice 22 and 21 are supplementary to 24, then by the congruent supplem
theorem, 21 22.
Use the paragraph proof to complete the two-column proof.
What statement and reason belong in line 5?
Statements
1.22 is supplementary to 23
Reasons
1. linear pair theorem
