SATHEE: Quantitative Aptitude Ques 1351

Quantitative Aptitude Ques 1351

Question: In $ \Delta ABC, $ $ \angle A:\angle B:\angle C=2:3:4, $ a line CD drawn perpendicular to AB, then $ \angle ACD $ is

Options:

A) $ 80{}^\circ $

B) $ 20{}^\circ $

C) $ 40{}^\circ $

D) $ 60{}^\circ $

Show Answer

Answer:

Correct Answer: C

Solution:

Let the angles be $ 2x, $ $ 3x $ and $ 4x. $ Since, the sum of interior angles of triangle is $ 180{}^\circ . $ Then, $ 2x+3x+4x=180{}^\circ $

$ \Rightarrow $ $ 9x=180{}^\circ $

$ \therefore $ $ x=20{}^\circ $ Now, $ \angle A=2x=2\times 20{}^\circ =40{}^\circ $ $ \angle B=3x=3\times 20{}^\circ =60{}^\circ $ $ \angle C=4x=4\times 20{}^\circ =80{}^\circ $ Now, $ AB\bot CD $ and AC be the transversal.
Then, $ \angle BCD=\angle ACD $ [alternate interior angles]

$ \therefore $ $ \angle ACD=40{}^\circ $

Quantitative Aptitude Ques 1350

Quantitative Aptitude Ques 1352

Quantitative Aptitude Ques 1351

Question: In $ \Delta ABC, $ $ \angle A:\angle B:\angle C=2:3:4, $ a line CD drawn perpendicular to AB, then $ \angle ACD $ is

Options:

Answer:

Solution:

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