Find the value of x in the picture please

Answer:
Option D 74°
Step-by-step explanation:
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so
The arcs that the outer angle encompasses are
254° and (360-254)=106°
therefore
∠x=(1/2)[254°-106°]
∠x=(1/2)[148°]
∠x=74°