In Fig. 6.18, M is the mid-point of both AC and BD. Then
(a) ∠1 = ∠2
(b) ∠1 = ∠4
(c) ∠2 = ∠4
(d) ∠1 = ∠3
By symmetry of diagonals intersecting at midpoints, ∠1 = ∠4.