Answer:
[tex]\frac{x-14}{2}=24[/tex]
Step-by-step explanation:
In the given figure two secants are intersecting outside the circle.
Angle formed by these secants = 24°
Measure of arcs intercepted = x° and 14°
Formula to get the unknown chord is,
24° = [tex]\frac{1}{2}(x-14)[/tex]
Therefore, equation (2) given in the equation bank will be used.
By further solving for the value of x,
24×2 = ( x - 14)
48 = x - 14
x = 48 + 14
x = 62°