Answer:
The correct option is c.
Step-by-step explanation:
According to the Angle Formed Outside of Circle by Intersection property,
[tex]\text{Angle Formed by Two Tangents}=\frac{1}{2}(\text{Differecen of Intercepted Arcs})[/tex]
It is given that the major intercepted arc is x. So, the minor intercepted arc is 360-x.
[tex]\text{Angle Formed by Two Tangents}=\frac{1}{2}(x-(360-x))[/tex]
[tex]90=\frac{1}{2}(2x-360)[/tex]
[tex]90=x-180[/tex]
[tex]90+180=x[/tex]
[tex]270=x[/tex]
The value of x is 270 degrees, therefore the correct option is c.
