In the diagram below, xy and yz are tangent to o. which equation could be solved to find y, the measure of xwz? a. 1/2(y - 64) = 116b. 1/2(y - 116) = 64c. 1/2(y + 116) = 64d. 1/2(y + 64) = 116

 B. 1/2(y - 116) = 64    

Step-by-step explanation:

Since, we know that,

The angle formed by two tangent =  

=

Here, Major arc = y°

Minor arc = 116°

And, Angle made by two tangents YX and YZ,

 ( because,   )

⇒

Which is the required equation to find y,  the measure of XWZ.

Thus, Option B is correct.

B. 1/2(y - 116) = 64

Step-by-step explanation:

<y = 1/2 (zwyx - zx)

64 = 1/2 (y-116)