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,

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