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Given: The lines shown in the diagram are parallel.
Prove: The sum of the interior angles of the triangle is 180°.
3
A
Since the given lines are parallel, then by the alternate interior angle theorem, m/1 = 90°. m/1 + m/2 = m/5, and 23 24
50
transitive property
definition of linear pair
Congruent angles have equal measures.
Statement
90° +m/2+m/4 = 180°
m/1+m/2+m/3 = 180°
m/3= m/4
definition of straight angle
substitution
Reason