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Draw a circle of radius 4 cm. Draw tangent to the circle making an angle of 60 with a line passing through the centre.

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Steps of construction 

Step 1: Draw a circle with center O and radius 4cm

Step 2: Draw radius OA and produce it to B.

Step 3: Make ∠AOP = 30°

Step 4: Draw \(PQ \perp OP,\) meeting OB at Q.

Step 5: Then, PQ is the desired tangent, such that ∠OQP = 60°

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