Answer:
(C)[tex]90^\circ[/tex]
Step-by-step explanation:
Theorem: The angle between a tangent and a radius is 90 degrees.
Given that
- YV and WV are radii
- YX and WX are tangent lines.
By the theorem stated above:
[tex]\angle VYX =90^\circ\\\angle VWX =90^\circ[/tex]
We are told that Angle V is a right angle.
Therefore, in the quadrilateral VWXY
[tex]\angle VYX+\angle VWX+\angle V+ \angle X =360^\circ\\90^\circ+90^\circ+90^\circ+ \angle X =360^\circ\\270^\circ+ \angle X =360^\circ\\\angle X =360^\circ-270^\circ\\\angle X =90^\circ[/tex]
The measure of circumscribed ∠X is 90 degrees.
