Question

What is the value of x?

Answer 1

16

Explanation:

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

`(5x - 7) \degree = (1)/(2) (119 \degree + 27 \degree) \\ \\ (5x - 7) \degree = (1)/(2) * 146 \degree\\ \\ (5x - 7) \degree = 73\degree \\ \\ 5x - 7 = 73 \\ \\ 5x = 73 + 7 \\ \\ 5x = 80 \\ \\ x = (80)/(5) \\ \\ x = 16`