Answer:
X=15.5 °
Step-by-step explanation:
AOB is an isosceles triangle since AO=BO (radius of the circle), to angle OAB=OBA= (180-53)/2= 63.5 °
Angle CAB=63.5+11=74.5 °
And the angle ACB=53/2= 26.5° (inscribed angle)
so in the triangle ABC: the angle ABC= 180- angle CBA + angle ACB =180-(74.5+26.5 )= 79 °
so x= angle ABC - angle OBA = 79 - 63.5 = 15.5 °
