Question

In the diagram below xy and yz are tangent to o what is the measure of xwz

Answer 1

248

Explanation:

Answer 2

Option 1 is correct. Measure of XWZ is 248°

Explanation:

Please see the attachment for figure.

XY and YZ tangent of circle with centre O.

XY makes central
`\text{Minor angle at centre O by XY minor }\angle 112^(\circ)`

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°

`Major \angle XOY+Minor\angle XOY=360^(\circ)`

`\text{Where, }minor\angle XOY=112^(\circ)`

`\therefore Major\angle XOY=360^(\circ)-112^(\circ)`

`Major\angle XOY=248^(\circ)`

`\text{Measure of arc XWZ}=major \angle XOY=248^(\circ)`

Option 1 is correct.

Thus, Measure of XWZ is 248°