- The measure of the minor arc, WX is 32º
From the image given, we see that we are to find the angle of arc WX.
We can also see that and angle S is formed due to the intersection of secants outside the circle. We will then use intersecting secants theorem to solve the question.
Using above theorem, we can set an equation to find the measure of arc WX as:
∠S = (major arc - minor arc)/2
Where our minor arc is WX, with our major arc being given as 114. From the diagram, we see that S is 41. so we have
41 = (114 - WX)/2
41 * 2 = 114 - WX
82 = 114 - WX
WX = 114 - 82
WX = 32
Therefore, we conclude that the answer is option C, 32
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