Answer:
C
Step-by-step explanation:
The secant- secant angle VYW is calculated as
∠VYW = 0.5( arc VW - arc XZ ), that is
35° = 0.5 (84 - XZ )
35 = 42 - 0.5XZ ( subtract 42 from both sides )
- 7 = - 0.5XZ ( divide both sides by - 0.5 )
14 = XZ
That is arc XZ = 14° → C
Answer:
Step-by-step explanation:
Here we need to use the theorem, which states:
"An angle formed by two secants is one-half the difference of its intercepted arcs"
In this case, the angle created is 35°, and the intercepted arcs are XZ and VW = 84°.
According to this theorem, we have
[tex]35\°=\frac{1}{2}(arc(VW) - arc(XZ))\\ 35=\frac{1}{2}(84-arc(XZ))\\ 35=42-\frac{XY}{2}\\ \frac{XY}{2}=42-35\\XY=2(7)14\°[/tex]
Therefore, according to the theorem, the arc XZ is 14°.
