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°

Step-by-step 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,

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

$=\frac{190^{\circ}}{2}$

$=95^{\circ}$

Thus, the measurement of angle y = 95°

⇒ Option B is correct.