To solve the problem, we need to find the angle between the tangent and the radius of a circle drawn through the point of contact.
1. Fundamental Concept:
A tangent to a circle is always perpendicular to the radius drawn to the point of contact.
This is a standard geometric property of a circle.
2. Therefore:
The angle between the tangent and the radius at the point of contact is $90^\circ$.
Final Answer:
The required angle is $ {90^\circ} $.