Question

A carpenter cut the top section of a window frame with a 37° angle on each end. The side pieces each have a 50° angle cut at their top ends, as shown. Will the side pieces of the frame be parallel? Explain. Diagram not to scale.

Answer 1

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Answer:

No, in order for the sides to be parallel, same side interior angles should be supplementary... in your diagram, (50+37) + (50+37) = 174

Step-by-step explanation:

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Answer 2

Answer:

no, they are not parallel

Step-by-step explanation:

for the side pcs 2 be //, the interior angles must add to 180deg.

interior angle on the left=interior angle on the right

=50+37=87deg.

87+87=174deg < 180deg

so they are not parallel