Question

In ΔABC,if AB=AC and ∠CAD is an exterior angle.If ∠CAD=70,then find the angles of ABC.(mention proper steps)

Answer 1

Answer:

Step-by-step explanation:

    AC = AD            and AB being the bisector of ∠A.            Now, in ΔABC and ΔABD,                  AC = AD[Given]                  AB = AB[Common]∠CAB = ∠DAB [∴ AB bisects ∠CAD]            ∴ Using SAS criteria, we have                  ΔABC ≌ ΔABD.            ∴ Corresponding parts of congruent triangles (c.p.c.t) are equal.            ∴ BC = BD.