The ratio of the angles of a triangle is 1:2/3:3 then the smallest angle isÂ
Let the angles of triangle be $$x, \frac{2x}{3}$$ and $$3x$$
Multiplying by 3, => Angles = $$3x,2x,9x$$
Sum of angles = $$180^\circ$$
=> $$3x+2x+9x=180^\circ$$
=> $$14x=180^\circ$$
=> $$x=\frac{180}{14}=\frac{90}{7}$$
$$\therefore$$ Smallest angle = $$2x$$
= $$2 \times \frac{90}{7}=\frac{180}{7}$$
=Â $$25\frac{5}{7}^\circ$$
=> Ans - (A)
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