Given: 21, 22, 23, and 24 formed by two intersecting segments.
Prove: 21 23
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Given 21, 22, 23, and 24 formed by two intersecting segments., 21 and 22 form a linear pair and 22 and 23 form a linear
pair by the
In addition, m/1 +m/2=180° and m/2+m/3= 180° by the linear
pair postulate. Using the
and 21 23 by the
m/1+m/2=m/2+m/3. Then m/1 = m/3 by the
angle congruence postulate
subtraction property of equality
symmetric property of equality substitution property
division property of equality
definition of a linear pair