The image shows a circle with center $M$ and points $A$, $B$, $C$, and $D$ on its circumference. There is an inscribed angle $\angle CDA = x$ and another inscribed angle $\angle CBA = 20^\circ$.

To find the measure of angle $x$, we can use the fact that angles subtended by the same arc in a circle are equal. Both $\angle CDA$ and $\angle CBA$ subtend the same arc $\overarc{CA}$.

Therefore, $x = 20^\circ$.

Answer: The value of $x$ is $20^\circ$.

Would you like further details or have any other questions?

Here are some related questions to expand on this concept:

1. How do we calculate angles subtended by the same arc in a circle?
2. What is the Inscribed Angle Theorem and how does it apply here?
3. How would the calculation change if the angle $\angle CBA$ was different?
4. Can we use the same method for angles outside the circle?
5. What are the properties of angles at the center versus angles on the circumference?

Tip: In a circle, angles subtended by the same arc at the circumference are always equal.