Question

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

Answer 1

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 $\text{Minor angle at centre O by XY minor }\angle 112^{\circ}$

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°

Answer 2

Answer:

248

Step-by-step explanation: