Answer:
Option 4
Step-by-step explanation:
"Angle formed between a secant and a tangent at a point outside a circle is equal to half of the difference of the measure of the intercepted arcs"
By applying this theorem in the figure given in the picture,
m∠RST = [tex]\frac{1}{2}[\text{m(arc TU - m(arc RT))}][/tex]
[tex]x=\frac{1}{2}(155-65)[/tex]
[tex]x=\frac{1}{2}(90^0)[/tex]
[tex]x=45^0[/tex]
Therefore, Option 4 is the correct option.
