Question

I need to find the x and the angle of m

Answer 1

8

Explanation:

By the property of intersecting tangent and secant outside of a circle.

`(4x + 2) \degree = (1)/(2) \{(22x + 14) \degree - 122 \degree) \} \\ \\2 (4x + 2) \degree = \{(22x + 14) \degree - 122 \degree) \} \\ \\ (8x + 4) \degree = (22x + 14 - 122) \degree \\ \\ (8x + 4) \degree = (22x - 108) \degree \\ \\8x + 4 = 22x - 108 \\ \\ 4 + 108 = 22x - 8x \\ \\ 112 = 14x \\ \\ x = (112)/(14) \\ \\ x = 8`