1. **Problem statement:** We have a circle with an inscribed angle measuring 26°. A tangent touches the circle at the endpoint of the chord forming an angle $x$° with the chord outside the circle. We need to find $x$. 2. **Key fact:** The angle between a tangent and a chord at the point of contact is equal to the measure of the inscribed angle on the opposite side of the chord. 3. Since the inscribed angle given is 26°, and the tangent forms an angle $x$ with the chord at the point of contact, by the tangent-chord angle theorem, we have: $$ x = 26 $$ 4. **Answer:** The angle $x$ formed between the tangent and the chord is $26$ degrees.