Construct a quadrilateral ABCD, where AB = 3.5 cm, BC = 3 cm, CD = 4 cm and ∠C=120∘ and ∠B=75∘. [4 MARKS]
Steps of constructions : 1 Mark
Construction : 3 Marks
Steps of Construction:
1. Draw a line segment BC = 3cm.
2. At C construct a 120∘ angle and draw a ray.
3. With C as centre draw an arc at the length of 4 cm. Let this line segment be CD. ie, CD = 4 cm.
4. At B construct a 75∘ angle and draw a ray.
5. With B as centre draw an arc at the length of 3.5 cm. Let this line segment be BA. ie, BA = 3.5 cm.
6. Join AD to complete quadrilateral ABCD.