Construct a quadrilateral ABCD when BC = 5 5 cm, CD = 4 1 cm, A = 70 , - Maths -

Question

Construct a quadrilateral ABCD when BC = 5 5 cm,
CD = 4 1 cm, ∠A = 70°, ∠B =
110° and ∠D = 85°

Global Expert · Accepted Answer

We know that the sum of all the angles in a quadrilateral is 360
i e
, ∠A+∠B+∠C+∠D=360°⇒∠C=95°Steps of construction:Step I: Draw BC=5
5 cm
Step II: Construct ∠XBC=110° at A and ∠BCY=95°
Step III: With C as the centre and radius 4
1 cm, cut off CD=4 1 cm
Step IV: At D, draw ∠CDZ=85° such that it meets BY at A
The quadrilateral so obtained is the required quadrilateral

Construct a quadrilateral ABCD when BC = 5.5 cm, CD = 4.1 cm, ∠A = 70°, ∠B = 110° and ∠D = 85°.