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Four angles of a quadrilateral ABCD are given as angle A = 80 degrees, angle B = 60 degrees, angle C = 75 degrees and angle D = 145 degrees, then Select one:a. AB || CDb. BC || DAc. AC = ABd. Quadrilateral cannot be constructed |
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Answer» Sol. (i) FIRST we draw a rough sketch of a quadrilateral ABCD and write down its dimensions as shown. We may divide it into two conveniently constructible Δs ABC and ACD. Steps of construction: 1. Draw AC = 7 cm. 2. With A as centre and radius 4.5 cm, draw an ARC (below AC). 3. With C as centre and radius 5.5 cm, draw another arc cutting the previous arc at B. 4. Join AB and BC 5. With A as centre and radius 6 cm, draw an arc (above AC). 6. With C as centre and radius 4 cm, draw another arc cutting the previous arc and D. 7. Join AD = CD. Then, ABCD is the required quadrilateral. (ii) First we draw a rough sketch of a quadrilateral JUMP and write down its dimensions as shown. |
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