In this question we have to use the formula:[tex] Angle \ formed \ by \ two \ chords = \frac{1}{2}(Sum \ of \ intercepted \ arcs) [/tex]Substituting the values of the intercepted arcs in the formula, we will get[tex] \angle 1 = \frac{1}{2} (53 + 47) = \frac{1}{2} (100) = 50 degree [/tex]And angles 1 and 2 are linear pair.So we will get[tex] \angle 1 + \angle 2 = 180 [/tex]Substituting the value of angle 1, we will get[tex] 50 + \angle 2 = 180 \\ \angle 2 = 130 degree [/tex]