Answer:
[tex]x=54^{\circ}[/tex]
Step-by-step explanation:
Angles in the Same Segment
The angles at the circumference subtended by the same arc are equal. Therefore, angles in the same segment are equal.
[tex]\implies 2x-54=x[/tex]
[tex]\implies 2x-54+54=x+54[/tex]
[tex]\implies 2x=x+54[/tex]
[tex]\implies 2x-x=x+54-x[/tex]
[tex]\implies x=54^{\circ}[/tex]
