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in Mathematics by (67.5k points)

Show the Construction of an angle of 60° at the initial point of a given ray.

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Consider ray PQ with P as the initial point. Construction of a ray PR such that it makes angle of 60° with PQ. Steps of Construction:

Step 1: Draw a ray PQ. 

Step 2: With P as centre, draw an arc with small radius such that it intersects the ray PQ at C. 

Step 3: With C as centre and same radius draw another arc to intersect the previous arc at D. 

Step 4: Draw a ray PR from point P through D. 

Hence, ∠RPQ is equal to 60°.

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