Question

A carpenter cut the top section of a window frame with a 40º angle on each end. The side pieces each have a 50º angle cut at their top ends, as shown.
Will the side pieces of the frame be parallel?
How do you know?
(Click document to see image)

Answer 1

If a carpenter cut the top section of a window frame with a 40º angle on each end. The side pieces each have a 50º angle cut at their top ends, as shown. Yes the side pieces of the frame will be parallel. How i know is that both side are equal or parallel.

Parallel

The interior angles are the same or equal in measure. On the other hand the sum of the interior angles have to  be 180°.

The two side  pieces on the right hand and left hand side are equal in measure. The sides can be parallel only if the sum of both side angles is equal to 180°

Let calculate the one side of the interior angle and both side of the interior angle

One side of the interior angle=40º+50º

One side of the interior angle=90°

Both side of the interior angle=90°+90°

Both side of the interior angle=180°

Hence,

The side are parallel because: 180°=180°

Therefore Yes the side pieces of the frame will be parallel. How i know is that both side are equal or parallel.

Learn more about parallel here: brainly.com/question/26961508

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