Q. 113.9( 276 Votes )

ABC and ADC are t

Answer :

It is given in the question that,

Ac is the common hypotenuse



So, ∠B = ∠D = 90o


We have to prove that,


∠CAD = ∠CBD


Proof: We know that,


∠ABC and ∠ADC are 90o as these angles are in a circle


Thus, both the triangles are lying in the circle and both have same diameter i.e. AC


Points A, B, C and D are concyclic


Therefore, CD is the chord


So,


∠CAD = ∠CBD (As, angles made by a chord in the same segment are equal)

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