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Given: 23 24
Prove: 21
22
2
.
24, so by the
By the linear pair theorem, 22 is supplementary to 23, which means m/2 + m/3 = 180°. It is given that 23
definition of congruent angles, m/3= m/4. Using the substitution property of equality, substitute m/4 in for m23 to rewrite the
previous equation as m/2+m/4 = 180°. Thus 22 is supplementary to 24 by the definition of supplementary angles. By the linear
pair theorem, 21 is supplementary to Z4. Since 22 and 21 are supplementary to 24, then by the congruent supplements theorem,
21 22
Use the paragraph proof to complete the two-column proof.
What statement and reason belong in line 5?