Question

Please help!!
Find the value of x

A. 12
B. 6
C. 10

Answer 1

A. x = 12

Explanation:

By inscribed angle theorem:

`(9x + 2) \degree= (1)/(2) [360 \degree - (80 + 60) \degree] \\ \\ \implies \: (9x + 2) \degree= (1)/(2) [360 \degree - 140 \degree] \\ \\ \implies \: (9x + 2) \degree= (1)/(2) [220 \degree] \\ \\ \implies \: (9x + 2) \degree= 110 \degree \\ \\ \implies \: 9x + 2= 110 \\ \\ \implies \: 9x= 110 - 2\\ \\ \implies \: 9x= 108 \\ \\ \implies \: x= (108)/(9) \\ \\ \implies \: \huge { \red{ \boxed{ x= 12}}}`