Answer:
AA similarity
Step-by-step explanation:
In Δ ABE,
∠E = 180 - (53 + 42) {Angle sum property of triangle}
= 180 - 95
= 85
In ΔBDC,
∠DBC = ∠ABE {Vertically opposite angles}
∠DBC = 42°
∠D = 180 - (85 + 42) {Angle sum property of triangle}
= 180 - 127
= 53
In ΔABE & ΔDBC
∠A = ∠D
∠E = ∠C
∠ABE = ∠DBC
ΔABE & ΔDBC are similar triangles by AA similarity.
