Question

What is the value of y if the segment outside the circle is tangent to the circle?

A:85
B:95
C:190
D: The answer can't be determined

Answer 1

95 would be the correct answer.

Heres also the others

1) 31
2) 68
3) 28
4) 35
5) 95
6) 126

Answer 2

Answer: B : 95°

Explanation:

Since, the measurement of an angle formed by a chord and a tangent that intersect on a circle, is half the measure of the intercepted arc.

In the given diagram, the intercepted angle = 360° - 170° = 190°,

Hence, by the above definition,

`y=\frac{\text{Intercepted arc}}{2}`

`=(190^(\circ))/(2)`

`=95^(\circ)`

Thus, the measurement of angle y = 95°

⇒ Option B is correct.