Q. 35.0( 1 Vote )

# Draw quadrilaterals of the following measures.In □XYZW, l(XY) = 5.5cm, l(XW) =3cm, m∠X = 70°, m∠Y = 95°, m∠Z =85°

X + Y +Z + W = 360°

70° + 95° + 85° + W = 360°

250 +W = 360°

⇒∠W = 360° -250°

W = 110°

Steps of construction:

i: Draw a line segment XY = 5.5cm.

ii: Construct an angle of 95° at Y and produce the side YZ’.

iii: Construct an angle of 70° at X and produce XW’.

iv: Take radius of 3cmand cut XW’ and mark that point as W.

v: Now, construct an angle of 110° at Z and produce ZP such that ZP cuts XW’ and mark this point as W.

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