Quantitative Aptitude Ques 2379

Question: The measures of two angles of a triangle is in the ratio 4: 5. If the sum of these two measures is equal to the measure of the third angle. Find the smallest angle.

Options:

A) $ 90{}^\circ $

B) $ 50{}^\circ $

C) $ 10{}^\circ $

D) $ 40{}^\circ $

Show Answer

Answer:

Correct Answer: D

Solution:

  • Measures of all the three angles of the triangle $ =180{}^\circ $ Then, $ 4x+5x+9x=180{}^\circ $

$ \Rightarrow $ $ 18x=180{}^\circ $
$ \Rightarrow $ $ x=10{}^\circ $ The smallest angle $ =4\times 10{}^\circ =40{}^\circ $

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