In the following figure which of the following statements is true?

A. AB = BD B. AC = CD C. BC + CD D. AD + CD Answer: Option B
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Solution(By Apex Team)

In Triangle ABD, ∠BAD + ∠B + 90° = 180° or, ∠BAD + ∠B = 90° – – – – – – – (1)
Now, in Triangle ABC, ∠ACB + ∠B + ∠A = 180° ∠ACB + ∠B = 180° – 90° ∠ACB = 90° – ∠B – – – – – (2) From (1) and (2), ∠BAD = ∠ACB So, AC = CD