Answer:x=90 °
Step-by-step explanation:
In any circle the exterior angle formed is half of the major arc - minor arc .
Angle formed by tangents or secants = [tex]\frac{1}{2}(Major arc - minor arc )[/tex]
The sum of measure of arcs inany circle is 360°.
Minor arc is given as x°.So Major arc = 360-x.
Substituting the given values in the formula :
[tex]x=\frac{1}{2}(360-x-x)[/tex]
[tex]x=\frac{1}{2}(360-2x)[/tex]
x=180-x
Adding x both sides we have:
2x=180.
Dividing both sides by 2.x= 90.
