Answer:
![x =26\°](https://img.qammunity.org/2020/formulas/mathematics/high-school/pn0u3l1rwkvd6qvqlrbldnnxfyckziz5w1.png)
Explanation:
For this case we have 2 secant lines and an exterior angle x.
Then by definition the measure of the outer angle is equal to half the difference of the arcs formed by the sides.
This means that the angle x is equal to:
![x =(66\°-14\°)/(2)\\\\x =26\°](https://img.qammunity.org/2020/formulas/mathematics/high-school/9nudt5cczjv9o3c8co41dasqiz67hfcuau.png)
the answer is:
![x =26\°](https://img.qammunity.org/2020/formulas/mathematics/high-school/pn0u3l1rwkvd6qvqlrbldnnxfyckziz5w1.png)