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In a triangle ABC,∠ A = 900, AL is drawn perpendicular to BC, Then ∠ BAL is equal to:
  • a)
    ∠ALC
  • b)
    ∠ACB
  • c)
    ∠BAC
  • d)
    ∠B - ∠BAL
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Answers

∠ BAL + ∠ B + 900 = 1800
or, ∠ BAL + ∠ B = 900
or, ∠ BAL = 900 - ∠ B ----------- (1)
Now, in Δ ABC,
∠ ACB + ∠ B + ∠ A = 1800
∠ ACB = 900
-∠ B ----- (2)
From, (1) and (2),
∠ BAL = ∠ ACB.

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∠BAL + ∠B + 900= 1800or, ∠BAL + ∠B = 900or, ∠BAL = 900- ∠B ----------- (1)Now, in Δ ABC,∠ACB + ∠B + ∠A = 1800∠ACB = 900-∠B ----- (2)From, (1) and (2),∠BAL = ∠ACB.