PQ and QT are tangents to a circle with centre O. If OPQ is an isosceles triangle .Then fing angle PQT.
Let us observe the following diagram.
Let PQ and QT are tangents to the circle.
Triangle OPQ is an isosceles triangle with OP = OQ
Thus
Since PQ is the tangent to the circle,
Consider the triangle, OPQ
By angle sum property,
Triangle OQT is an isosceles triangle with OT = OQ
Thus
Since PQ is the tangent to the circle,
Consider the triangle, OTQ
By angle sum property,
Thus,