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°

Answer :

∠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.

vi: WXYZ is required quadrilateral.

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