Question

Construct a quadrilateral ABCD, when AB = 4 cm, BC = 5 cm, CD = 6.5 cm, $\angle ABC={105}^{\circ }$ and $\angle DCB={80}^{\circ }$. The length of AD is

• A. $2.9$cm
• B. $3.5$cm
• C. $5.5$cm
• D. $4.5$cm

Answer 1

The correct option is C $5.5$cm

1. Draw a line segment $BC=5cm$.

2. Draw a line segment $XB$ making angle of $105˚$ at $B$

3. With $4cm$ 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 $AD=5.5cm$.