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mathstudent55

Answer:

x = 63

y = 243

Step-by-step explanation:

The measure of an angle formed by two tangents to a circle from a point outside the circle is half the difference of the intercepted arcs.

The intercepted arcs are 117° and y.

The total arc measure of a circle is 360°.

Since one arc measures 117°, then the other arc measures

y° = 360° - 117° = 243°

[tex] x = \dfrac{y - 117}{2} [/tex]

[tex] x = \dfrac{243 - 117}{2} [/tex]

[tex] x = \dfrac{126}{2} [/tex]

[tex] x = 63 [/tex]

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