Question 14 Marks
Construct a quadrilateral ABCD given that AB = 4cm, BC = 3cm, $\angle\text{A}=75^\circ,$ $\angle\text{B}=80^\circ$ and $\angle\text{C}=120^\circ.$
Answer
Steps of construction:
Step I: Draw AB = 4cm.
Step II: Construct $\angle\text{XAB}=75^\circ$ at A and $\angle\text{ABY}=80^\circ$ at B.
Step III: With B as the centre and radius 3cm, cut off BC = 3cm.
Step IV: At C, draw $\angle\text{BCZ}=120^\circ$ such that it meets AX at D.
The quadrilateral so obtained is the required quadrilateral.
View full question & answer→Steps of construction:Step I: Draw AB = 4cm.
Step II: Construct $\angle\text{XAB}=75^\circ$ at A and $\angle\text{ABY}=80^\circ$ at B.
Step III: With B as the centre and radius 3cm, cut off BC = 3cm.
Step IV: At C, draw $\angle\text{BCZ}=120^\circ$ such that it meets AX at D.
The quadrilateral so obtained is the required quadrilateral.