Question

Two tangent TP and TQ are drawn to a circle with center 0 from an external point T . prove that angle PTQ = 2 angle OPQ.​

Answer 1

TP = TQ,

which are the tangents drawn from the external point T.

Since, TP = TQ,

so in triangle TPQ, angles TQP and TPQ will be equal due to the property that opposite angles to equal sides are equal.