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  • 09-06-2022
  • Mathematics
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vintechnology vintechnology
  • 09-06-2022

The measure of the arc WT in the circle is 51 degrees.

How to find the measure of an arc when tangent intersect?

The measure of the angle formed by the intersection of two tangents outside a circle is half the positive difference of the measure of the intercepted arc.

Therefore,

m∠RPS = arc RS - arc WT / 2

m∠RPS = 35°

arc RS = 121°

arc WT = ?

35 = 121 - x  / 2

cross multiply

70 = 121 - x

70 - 121 = -x

x = 51°

Therefore,

arc WT = 51°

learn more on tangent here: https://brainly.com/question/16038958

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