Drag the tiles to the correct boxes to complete the reasoning of the proof. Not all tiles will be used.
Given: The lines shown in the diagram are parallel.
Prove: The sum of the interior angles of the triangle is 180°.
3
4 5
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.
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definition of straight angle
transitive property
Congruent angles have equal measures.
Statement
substitution
definition of linear pair
Reason