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To construct the quadrilateral PQRS with the given specifications, follow these steps:
Start by drawing a line segment PQPQ of length 4 cm. This will be one side of the quadrilateral.
At point PP, construct an angle of 75 degrees. To do this, use a protractor to measure and mark an angle of 75 degrees from line segment PQPQ.
At point QQ, construct an angle of 80 degrees. To do this, use a protractor to measure and mark an angle of 80 degrees from line segment PQPQ.
From point QQ, draw a ray extending from the angle bisector of angle QQ. This will be side QRQR.
Measure and mark a length of 3 cm along side QRQR. This will be point RR.
At point RR, construct an angle of 120 degrees. To do this, use a protractor to measure and mark an angle of 120 degrees from line segment QRQR.
Finally, draw a line segment connecting point RR to point PP.
By following these steps, you will have constructed the quadrilateral PQRS with the given specifications.
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