Question

Find value of variable

Answer 1

x = 23.5

Explanation:

By inscribed angle theorem:

`(2x + 1) \degree = (1)/(2) * 96 \degree \\ \\ \implies \: (2x + 1) \degree = 48 \degree \\ \\ \implies \: 2x + 1 = 48 \\ \\ \implies \: 2x = 48 - 1\\ \\ \implies \: 2x = 47\\ \\ \implies \: x = (47)/(2) \\ \\ \implies \: x = 23.5`