Construct a quadrilateral ABCD given that CD = 7cm, AD = 5 cm, ∠A =120⁰,∠B =75⁰ and ∠C=135⁰.
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Answer:
Draw a line segment AB=4.5cm
⇒ Take B as center and draw an angle of 60
o
.
⇒ Cut off BC=5.5cm
⇒ Take A as with radius 4.8cm and draw an arc.
⇒ Take C as with radius 5cm and draw an arc, which cuts off previous arc at point D
⇒ Join CD and AD.
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1. Draw a line segment BC=5 cm.
2. Draw a line segment XB making angle of 105˚ at B
3. With 4 cm as radius, draw an arc from B, name it as A.
4. Draw a line segment YC making angle of 80˚ using protractor at C.
5. With radius as 6.5 cm from C, cut the arc just drawn, name it as A.
6. Join AD.
7. ABCD is the required quadrilateral.
8. Measure the length of AD=5.5 cm.
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