Verified answer

Step-by-step explanation:

(i) We know that the angles in the same segment are equal So we get ∠BDC = ∠BAC = 40°

Consider △ BCD Using the angle sum property ∠BCD + ∠BDC + ∠DBC

= 180° By substituting the values ∠BCD + 40° + 60° = 180°

On further calculation ∠BCD = 180° – 40° – 60° By subtraction ∠BCD = 180° – 100° So we get ∠BCD = 80°

(ii) We know that the angles in the same segment are equal So we get ∠CAD = ∠CBD So ∠CAD = 60°