A carpenter cut the top section of a window frame with a 37 degree angle on each end. The side pieces each have a 50 degree angle cut at their top ends, as shown. Will the side pieces of the frame be parallel? Explain.

A carpenter cut the top section of a window frame with a 37 degree angle on each end The side pieces each have a 50 degree angle cut at their top ends as shown class=

Respuesta :

The side pieces will not be parallel when lapped with top section ends

because the corresponding angle formed by the side pieces are not equal.

Reasons:

The given angle on each end of the window frame = 37°

The angle at the top ends of the side pieces = 50°

According to angle addition postulate, we have;

Angle formed when the top section and the side pieces lap = 37°+ 50° = 87°

Therefore;

The angle formed by the left side piece is 87° below the positive x-axis

direction, while the corresponding angle formed by the right side piece is

1.3° below the positive x-direction, such that the two side pieces are

inclined towards each other, and given that the corresponding angles are

not equal, the side pieces are therefore, not parallel.

Learn more here:

https://brainly.com/question/24529637

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Universidad de Mexico