Question

1. Using ruler and compasses only:
(1)
Construct a quadrilateral ABCD in which AB = 3.5 cm, BC = 6.5 cm, angle A = 60°
angle C = 120° and angle D = 75°.​

Answer 1

$\mathfrak{\huge{\underline{Solution:}}}$

$\sf\bold{Steps\:Of\: Construction}$

Step 1 : Draw a line segment AB of 3.5 cm

Step 2 : Construct an angle of 60° on A

Step 3 : From angle sum property Find the measurement of Angle B

$\sf{\boxed{Angle\:B = {105}^{\circ}}}$

Step 4 : Construct an angle of 105° on B

Step 5 : Take an arc of 6.5 cm from B to C

Step 6 : Construct an angle of 120° on C

Step 7 : Mark the point of intersection as D

Quadrilateral ABCD will form.

Refer to the attachment!