Answer:
The angles ∠BAX and ∠CAX are congruent.
Explanation:
Because you made a circunference with center at A you must have that the distance from A to C is 10 units. Then you made two circunferences of the same radio, one centered at B and the other centered at C to obtain the point X. So the distance from B to X is the same as the distance from C to X. So we have that the triangles Δ ABX and Δ ACX are congruent (by the SSS criterion). Therfore the corresponding angles ∠BAX and ∠CAX are congruent.