Question

In the given figure, O is the center of a circle and two tangents QP and QR are drawn on the circle from a point Q lying outside the circle. Find the value of angle POR ( in degrees).

Answer 1

In MQNP,
$m\angle PQR={70}^0$ (Given)
$m\angle QPO={90}^0$ (Radius is perpendicular to the tangent)
$m\angle QRO={90}^0$ (Radius is perpendicular to the tangent)
$\therefore m\angle POR={110}^0$ (Remaining angle)