Question

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Answer 1

Here

AB=CD (given)

AC=BD (given)

BC=BC (common)

So, by SSS ∆ABC is congruent to ∆DBC.

Thus,ang.A=ang.D (by c.p.c.t.)

Hope it helps.

Answer 2

Answer:

Given:-

AB = BC

AC = BD

Common:-

BC = BC

So by SSS Congruency ABC is congruent to DBV.

Thus,

angle "a" = angle "d" (By CPCT)

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Extra related to this:-

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CPCT Congruency:

CPCT stands for Corresponding parts of Congruent triangles. CPCT theorem states that if two or more triangles which are congruent to each other are taken then the corresponding angles and the sides of the triangles are also congruent to each other.

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SSS Congruency:

If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

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