Respuesta :

ANSWER

X = 63

STEP-BY-STEP EXPLANATION:

To find the value of x, we will be applying the 2 - Line Theorem

2-Line Theorem; If 2 lines intersect on the exterior of a circle, then the measure of the angle formed is one-half of the difference of the 2 intercepted arcs.

Hence, the value of x can be calculated using the formula below

The minor arc = 360 - 243

Minor arc= 117

[tex]\begin{gathered} x\text{ =}\frac{243\text{ - 117}}{2} \\ x\text{ =}\frac{126}{2} \\ x\text{ = 63} \end{gathered}[/tex]

Hence, the value of x is 63

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