Question

What is the value of x?
160°
x =
519

Answer 1

x = 58

Explanation:

`51 \degree = (1)/(2) (160 \degree - x \degree) \\ \\ 51 * 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}}`

Answer 2

x = 58

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