Answer: The value of x is 46°.
Step-by-step explanation:
Since we have given that
Angle subtending at center = 134°
Angle between two tangents intersecting = x
And we know that "When Tangents touched the circle it forms right angle with the radius".
So, OPAB forms a quadrilateral:
As we know that "Sum of all angles of quadrilateral is 360°".
So, it becomes,
[tex]\angle O+\angle P+\angle A+\angle B=360^\circ\\\\134^\circ+\angle P+90^\circ+90^\circ=360^\circ\\\\\angle P+314^\circ=360^\circ\\\\\angle P=360^\circ-314^\circ\\\\\angle P=46^\circ\\\\x=46^\circ[/tex]
Hence, the value of x is 46°.
