what is the measure of an angle made by a tangent and the radius of a circle at the point of contact?
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90∘
The radius and tangent of a circle at a point of contact is always perpendicular to each other. So the angle is 90∘.
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The measure of the angle made by a tangent and the radius of a circle at the point of contact is 90 degrees, also known as a right angle. This is a property of tangents to circles, and can be proven using the Pythagorean Theorem and the fact that a tangent line is perpendicular to the radius at the point of contact.
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