Question

PLEASE HELP

Answer 1

Answer:  B. 1/2(y - 116) = 64    

Step-by-step explanation:

Since, we know that,

The angle formed by two tangent = $\frac{1}{2}(\text{Difference of intercepted Arcs} )$  

= $\frac{\text{major arc - minor arc}}{2}$

Here, Major arc = y°

Minor arc = 116°

And, Angle made by two tangents YX and YZ,

$m\angle XYZ = \frac{\text{y - 116}}{2}$

$64 = \frac{\text{y - 116}}{2}$  ( because,  $m\angle XYZ = 64^{\circ}$ )

⇒ $\frac{\text{y - 116}}{2} = 64$

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

Thus, Option B is correct.

Answer 2

Answer:

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

Step-by-step explanation:

<y = 1/2 (zwyx - zx)

64 = 1/2 (y-116)