Construct the following quadrilaterals.

(i) Quadrilateral DEAR

DE = 4 cm

EA = 5 cm

AR = 4.5 cm

∠E = 60°

∠A = 90°

(ii) Quadrilateral TRUE

TR = 3.5 cm

RU = 3 cm

UE = 4 cm

∠R = 75°

∠U = 120°

(i) A rough sketch of this quadrilateral:

(a) Draw a line segment DE of 4 cm and an angle of 60° at point E. The given vertex A is 5 cm away from vertex E so cut a line segment EA of 5 cm from this ray

(b) Again draw an angle of 90° at point A. As vertex R is 4.5 cm away from vertex A, cut a line segment RA of 4.5 cm from this ray

(c) Join D to R

DEAR is the required quadrilateral

(ii) A rough sketch of this quadrilateral:

(a) Draw a line segment RU of 3 cm and also an angle of 120° at point U

The vertex E is 4 cm away from vertex U so cut a line segment UE of 4 cm from this ray

(b) Now, draw an angle of 75° at point R. As the given vertex T is 3.5 cm away from vertex R so cut a line segment RT of 3.5 cm from this ray

(c) Join T to E

TRUE is the required quadrilateral

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