Question

construct two tangents to the circle of radius 3cm, given the angle between the tangents is 60 degree​

Answer 1

Step-by-step explanation:

For a better understanding of the explanation provided here, please go through the diagram in the file attached.

Q is the external point from which two tangents QP and QR are made to touch the circle with radius O at P and R respectively.

Let "r" be the radius. By property of circles we know that the angles OPQ and ORQ will be right angles.

We also know that angle between tangents and angle subtended by radii are supplementary. It is given that ,∠POR=50

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We know that:− ∠POR+∠PQR=180

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∴∠PQR=180

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−50

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=130

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solution