In the figure, x || y and transversal z. Explain why 
and 
must be supplementary.
What will be an ideal response?
With x || y, corresponding angles 1 and 3 must be congruent. Then 
.
.But 
and 
are supplementary in that the exterior sides of these adjacent angles form a straight line. Then 
. By substitution, 
. Then 
and 
are supplementary.
Mathematics
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? 
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