Answer:
Option 1 is correct. Measure of XWZ is 248°
Step-by-step explanation:
Please see the attachment for figure.
XY and YZ tangent of circle with centre O.
XY makes central [tex]\text{Minor angle at centre O by XY minor }\angle 112^{\circ}[/tex]
We need to find measure of XWZ
It would be major angle of XY arc.
As we know the sum of minor and major arc at centre would be 360°
[tex]Major \angle XOY+Minor\angle XOY=360^{\circ}[/tex]
[tex]\text{Where, }minor\angle XOY=112^{\circ}[/tex]
[tex]\therefore Major\angle XOY=360^{\circ}-112^{\circ}[/tex]
[tex]Major\angle XOY=248^{\circ}[/tex]
[tex]\text{Measure of arc XWZ}=major \angle XOY=248^{\circ}[/tex]
Option 1 is correct.
Thus, Measure of XWZ is 248°
