To construct a quadrilateral ABCD with the given measurements, follow these steps:
1. Start by drawing a straight line segment AB of 4.2 cm. This will be the first side of the quadrilateral.
2. At point B, use a protractor to measure and mark an angle of 75 degrees in the clockwise direction. This will be Angle B.
3. From the endpoint of the 4.2 cm line segment, which is point A, measure and mark a line segment BC of 3.7 cm. This forms the second side of the quadrilateral.
4. Now, at point C, measure and mark an angle of 105 degrees in the clockwise direction using a protractor. This will be Angle C.
5. From the endpoint of the 3.7 cm line segment, which is point C, measure and mark a line segment CD of 5.4 cm. This forms the third side of the quadrilateral.
6. To complete the quadrilateral, draw a line segment from the endpoint of CD, which is point D, to the starting point A. This forms the fourth side of the quadrilateral.
You should now have a quadrilateral ABCD with the given measurements: AB = 4.2 cm, BC = 3.7 cm, CD = 5.4 cm, Angle B = 75 degrees, and Angle C = 105 degrees.
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Answer:
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Step-by-step explanation:
To construct a quadrilateral ABCD with the given measurements, follow these steps:
1. Start by drawing a straight line segment AB of 4.2 cm. This will be the first side of the quadrilateral.
2. At point B, use a protractor to measure and mark an angle of 75 degrees in the clockwise direction. This will be Angle B.
3. From the endpoint of the 4.2 cm line segment, which is point A, measure and mark a line segment BC of 3.7 cm. This forms the second side of the quadrilateral.
4. Now, at point C, measure and mark an angle of 105 degrees in the clockwise direction using a protractor. This will be Angle C.
5. From the endpoint of the 3.7 cm line segment, which is point C, measure and mark a line segment CD of 5.4 cm. This forms the third side of the quadrilateral.
6. To complete the quadrilateral, draw a line segment from the endpoint of CD, which is point D, to the starting point A. This forms the fourth side of the quadrilateral.
You should now have a quadrilateral ABCD with the given measurements: AB = 4.2 cm, BC = 3.7 cm, CD = 5.4 cm, Angle B = 75 degrees, and Angle C = 105 degrees.