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]
