What is the value of x?
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Answer:
16
Step-by-step explanation:
By the property of intersecting chords inside the circle, we have:
[tex](5x - 7) \degree = \frac{1}{2} (119 \degree + 27 \degree) \\ \\ (5x - 7) \degree = \frac{1}{2} \times 146 \degree\\ \\ (5x - 7) \degree = 73\degree \\ \\ 5x - 7 = 73 \\ \\ 5x = 73 + 7 \\ \\ 5x = 80 \\ \\ x = \frac{80}{5} \\ \\ x = 16[/tex]