Question 60

If the angles of a triangle are in the ratio of 2:3:4, then the difference of the measure of greatest angle and smallest angle is

Solution

Let the angles of the triangle be $$2x,3x$$ and $$4x$$

=> Sum of angles = $$2x+3x+4x=180^\circ$$

=> $$9x=180^\circ$$

=> $$x=\frac{180}{9}=20^\circ$$

$$\therefore$$ Difference between greatest and smallest angle = $$4x-2x=2x$$

= $$2 \times 20=40^\circ$$

=> Ans - (C)

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