Question

ABC and ADC are two right triangles with common hypotenuse AC. Prove that ∠CAD= ∠ABD
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Answer 1

Step-by-step explanation:

Proof: ∵ AC is the common hypotenuse, ABC and ADC are two right triangles. ⇒ Both the triangles are in the same semicircle. ∴ Points A, B, D and C are concyclic. ∴ ∠CAD = ∠CBD