Q3 of 12 Page 106

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.



vi: WXYZ is required quadrilateral.



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1

Draw quadrilaterals of the following measures.

In □DEFG, l(DE) =4.5 cm, l(EF) = 6.5cm m∠D = 65°, m∠E = 100°, m∠F = 60°.

 2

Draw quadrilaterals of the following measures.

In □MTSN l(MT) = 4cm, l(TS) = 5cm m∠M=50°, m∠T = 110°, m∠S = 70°.

 1

Draw quadrilaterals of the following measures.

In □TYRE l(TY) = 3.5cm, l(YR) = 5cm, l(RE) = 4.5 cm, m∠Y = 60°, m∠R = 120°.

 2

Draw quadrilaterals of the following measures.

In □KING, l(KI) =3.5cm, l(IN) = 5.5cm, l(NG) = 5cm, m∠N = 75°, m∠I = 115°.