Question

construct a quadrilateral ABCD in which ab is equal to 4 cm BC is equal to 6 CM angle A is equal to 60 degree angle b is equal to 120 degree and Angle C is equal to 105 degree​

Answer 1

Step-by-step explanation:

1 draw ab 4cm

2 make angle of 60 at A

3 make angle of 120 at B

4 extend B and at 6 cm mark C

5 make an angle of 105 at C

6 extend C and A till they meet and mark the point as D

Answer 2

$ABCD$ is the required quadrilateral.

Step-by-step explanation:

Given,

Construct a quadrilateral $ABCD$,

$AB=4\ cm,BC=6\ cm,\angle A=60\ degree,\angle B=120\ degree\ and\ \angle C=105\ degree$

Following steps:

• Draw a line segments $AB=4\ cm$ using scale.
• Draw angle $60\ degree\ and\ 120\ degree$ at point $A\ and\ B$ using compass like $\angle XAB=60\ degree\ and\ \angle YBA=120\ degree$
• Cuts a point $C$ on line $BY$ line $BC=6\ cm$
• At $C$, draw an angle $105\ degree$ where extended line meet at $D$ on line $AX$

Now, $ABCD$ is the required quadrilateral.