Answer:
[tex]x=129[/tex] °
Step-by-step explanation:
A secant is a line that intersects a circle in two places. The secants interior angle theorem states that when two secants intersect a circle inside a circle, the measure of any one of the angles formed is equal to half of the sum of the two intersecting arcs. Therefore, one can apply this theorem here:
[tex]x=\frac{204+54}{2}[/tex]
Simplify,
[tex]x=\frac{204+54}{2}[/tex]
[tex]x=\frac{258}{2}[/tex]
[tex]x=129[/tex]
