Note: Your teacher will grade your responses to questions 4–8 to ensure you receive proper credit for your answers.
A carpenter cut the top section of a window frame with a 37º 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? Explain. Diagram not to scale.
An image of three quadrilaterals is shown.
1 answer
Without the diagram, it is difficult to provide a definitive answer. However, based on the given information, it is possible for the side pieces of the frame to be parallel. If the top section of the window frame is cut with a 37º angle on each end, and the side pieces each have a 50º angle cut at their top ends, it suggests that the angles on the top and bottom sections of the side pieces are equal. If the opposite sides of the frame have equal angles, then the side pieces would be parallel. However, it is important to view the diagram to confirm this.