Answer:x=90 °
Explanation:
In any circle the exterior angle formed is half of the major arc - minor arc .
Angle formed by tangents or secants =
![(1)/(2)(Major arc - minor arc )](https://img.qammunity.org/2019/formulas/mathematics/high-school/ajddig4r3mqgw7ptisrs7z79tj7jtwcuo2.png)
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 :
![x=(1)/(2)(360-x-x)](https://img.qammunity.org/2019/formulas/mathematics/high-school/bm9zhk5n13wcg83v7o0dzwclp12funlj0n.png)
![x=(1)/(2)(360-2x)](https://img.qammunity.org/2019/formulas/mathematics/high-school/9qkd389ukpj2wtoajapcz3gmz36jal8ljb.png)
x=180-x
Adding x both sides we have:
2x=180.
Dividing both sides by 2.x= 90.