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

Solution:

From the diagram,

Intercepted angle = 360 - 170 = 190 degree

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.

From the definition,

y = Intercepted arc/2

Substituting the value

y = 190/2

y = 95 degree

Therefore, the value of y is 95 degree.

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

Summary:

The value of y if the segment outside the circle is tangent to the circle is 95 degree.