Question

construct a quadrilateral ABCD given that BC=6cm,CD=4cm,B=45°,C=90°,and D=120°​

Answer 1

Answer:

Steps of Construction:

(i) Construct BC = 6 cm.

(ii) At point B, draw ∠CBP = 45.

(iii) At point C, draw ∠BCQ = 90.

(iv) Cut off CD = 4 cm from CQ.

(v) At the point D, draw ∠CDR = 1200.

(iv) Let BP and DR meet at the point A.

Therefore, ABCD is the required quadrilateral.

Answer 2

$\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\red{W}\green{E} \purple{R}}}$

$✰ \: Steps \: of \: Construction \: ✰$

$(i) Construct BC = 6 cm.$

$(ii) At the point B, draw ∠CBP = 45$

$(iii) At the point C, draw ∠BCQ = 90$

$(iv) Cut off CD = 4 cm from CQ.$

$(v) At the point D, draw ∠CDR = 120$

$(iv) Let BP and DR meet at the point A.$

$Therefore, ABCD is the required \\ quadrilateral....$