In a \( \Large \triangle \)ABC, \( \Large \angle A = 90 ^{\circ} \), \( \Large \angle C = 55 ^{\circ} \) and \( \Large \overline{AD}\perp\overline{BC} \), What is the value of \( \Large \angle BAD \)?

A) \( \Large 60 ^{\circ} \)
B) \( \Large 45 ^{\circ} \)

C) \( \Large 55 ^{\circ} \)
D) \( \Large 35 ^{\circ} \)

Correct answer:
C) \( \Large 55 ^{\circ} \)

Description for Correct answer:


In \( \Large \triangle BAC, \)

\( \Large \angle B = 180 ^{\circ} - \left( 90 ^{\circ} + 55 ^{\circ} \right) = 35 ^{\circ} \)

Now, in \( \Large \triangle ADB \),

\( \Large \angle ADB = 90 ^{\circ} \)

\( \Large \therefore \angle ADB + \angle DBA + \angle BAD = 180 ^{\circ} \)

\( \Large \angle BAD = 180 ^{\circ} - 90 ^{\circ} - 35 ^{\circ} = 55 ^{\circ} \)

Please provide the error details in above question

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