Answer:
x = 58
Step-by-step explanation:
Angle Formed by Two Secants = 1/2(difference of Intercepted Arcs)
51 =1/2 (160-x)
Multiply each side by 2
102 = 160-x
Subtract 160 from each side
102-160 = -x
-58 = -x
Multiply by -1
58 =x
[tex]51 \degree = \frac{1}{2} (160 \degree - x \degree) \\ \\ 51 \times 2 \degree = 160 \degree - x \degree \\ \\ 102 \degree = 160 \degree - x \degree \\ \\ x \degree = 160 \degree - 102 \degree \\ \\ x \degree = 58 \degree \\ \\ \huge \red{ \boxed{x = 58}}[/tex]
