Question

Draw two tangents to a circle of radius 3cm So that angle between the radius is 50

Answer 1

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 $\angle POR=50^{\circ}$.

We know that: $\angle POR+\angle PQR=180^{\circ}$

$\therefore \angle PQR=180^{\circ}-50^{\circ}=130^{\circ}$

This can be seen from the diagram.