Question

Construct a parallelogram CLUB with CL = 3.5 cm, LU = 6 cm and ∠U = 75°​

Answer 1

Step-by-step explanation:

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Answer 2

Given :-

• Parallelogram CLUB
• CL = 3.5 cm.
• LU = 6 cm.
• ∠U = 75°

To Find :-

Construct a Parallelogram .

Solutions :-

• We know that The opposite angles of a Parallelogram are equal . Also, Sum of Co-interior Angle s in a parallelogram s 180°. Using this property we get :-

∠C = ∠U = 75° and ∠L=180°

∠C = 180°-75° =105°

Steps of Construction :-

Step 1 : Draw a line Segment CL = 3.5 cm

Steps 2 : At C,construct ∠LCX = 75°

Steps 3: At L, Construct ∠CLY =105°

Steps4 : with L as center and 6 cm reduce draw an arc intersecting ray LY at U .

Steps 5: At U,Construct ∠LUZ = 75° so that UZ and CX intersect at B.

CLUB is The required Parallelogram .

Rough Sketch is on Attachment .

• Original Construction of Parallelogram in Attachment . for better understanding.

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