Question

Construct a quadrilateral ABCD in which AB = 3.6 cm, BC = 5.5 cm, CD = 5 cm, $\angle B={125}^{\circ }$, and $\angle C={80}^{\circ }$.

Answer 1

Steps of construction:

1. Draw a line segment BC of length 5.5 cm.
2. At B construct an $\angle B={125}^{\circ }$ . Draw a ray at B.
3. At C construct an $\angle C={80}^{\circ }$. Draw a ray at C
4. With B as centre construct an arc of radius 3.6 cm as a ray from B. Let it be A.
5. With C as centre construct an arc of radius 5 cm as a ray from C. Let it be D.
6. Join A and D.
ABCD is the required quadrilateral.