Question
Find the angles of a triangle which are in the ratio 4 : 3 : 2.

Answer

Sum of angles of a triangle = 180° and ratio in the three angles = 4 : 3 : 2
$\therefore\text{First angle}=\frac{180^\circ\times4}{4+3+2}=\frac{180^\circ\times4}{9}=80^\circ$
$\text{Second angle}=\frac{180^\circ\times3}{9}=60^\circ$
$\text{ and third angle}=\frac{180^\circ\times2}{9}=40^\circ$

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