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In the following figure which of the following statements is true?
In the following figure which of the following statements is true?
Answer & Solution
Correct Answer:
Option
B
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
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Logincannot be true unless angle BAD = 0
since angle B itself is 90
∠B=90,∠A=30+30=60degre
then ∠D=30degre
now Consider Triangle ACD
∠D=30,∠DAC=30
These two side is Opposite of two equal angle So, AC = CD.