Question

What is the value of x?

Answer 1

Answer:

16

Step-by-step explanation:

By the property of intersecting chords inside the circle, we have:

$(5x - 7) \degree = \frac{1}{2} (119 \degree + 27 \degree) \\ \\ (5x - 7) \degree = \frac{1}{2} \times 146 \degree\\ \\ (5x - 7) \degree = 73\degree \\ \\ 5x - 7 = 73 \\ \\ 5x = 73 + 7 \\ \\ 5x = 80 \\ \\ x = \frac{80}{5} \\ \\ x = 16$