Question

What is the value of x? Enter your answer in the box. x = Two intersecting tangents that form an angle of x degrees and an angle of 134 degrees.

Answer 1

180-134=46

Explanation:

the answer is 46

Answer 2

Answer: The value of x is 46°.

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,

`\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`

Hence, the value of x is 46°.