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4. Construct a quadrilateral ABCD, where AB = 4.3 cm, BC = 5.2 cm, CD = 6.5 cm, ∠B = 105° and ∠C = 60°.

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To construct the quadrilateral ABCD with the given specifications, follow these steps: Draw a line segment ABAB of length 4.3 cm. This will be one side of the quadrilateral. At point BB, construct an angle of 105 degrees. To do this, use a protractor to measure and mark an angle of 105 degrees...
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To construct the quadrilateral ABCD with the given specifications, follow these steps:

  1. Draw a line segment ABAB of length 4.3 cm. This will be one side of the quadrilateral.

  2. At point BB, construct an angle of 105 degrees. To do this, use a protractor to measure and mark an angle of 105 degrees from line segment ABAB.

  3. From point BB, draw a ray extending from the angle bisector of angle BB. This will be side BCBC.

  4. Measure and mark a length of 5.2 cm along side BCBC. This will be point CC.

  5. At point CC, construct an angle of 60 degrees. To do this, use a protractor to measure and mark an angle of 60 degrees from line segment BCBC.

  6. From point CC, draw a ray extending from the angle bisector of angle CC. This will be side CDCD.

  7. Measure and mark a length of 6.5 cm along side CDCD. This will be point DD.

  8. Finally, draw a line segment connecting point DD to point AA.

By following these steps, you will have constructed the quadrilateral ABCD with the given specifications.

 
 
 
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