The reasons statements and reasons below are scrambled. It is your task to cut them out,
unscramble them, and paste them in the correct sequence to prove the well-known fact that the
sum of the three interior angles of a triangle is 180 .
Triangle Angle-Sum Theorem
(the sum of angles in a triangle is 180 )
Given: m || AC ,
AB is a transversal of m & AC
w, y, z form a linear pair
Prove: mx  my  mz  180
mx  my  mz  180
Angle Addition Theorem
Given
Reason
mw  my  mz  180
Alternate Interior Angle Theorem
Statement
w & x and v & z are alternate
interior angles formed by parallel lines
mw  mx and mv  mz
w, y, z form a linear pair
Definition of alternate interior angles
formed by parallel lines
Substitution