Question

In the given figure, two line segments AD and AE of equal length length are drawn from the vertex A of triangle ABC such that BD=DE=CE.
what is the measure of angle EAC
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Answer 1

Answer:

Step-by-step explanation:

In quadrilateral ABCD we have                  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.