Question

What are the angles of the triangle if they are in the ratio of 2 : 4 : 6?

• A. 20^o,40^o,60^o
• B. 40^O,80^O,120^O
• C. 30^o,60^o,90^o
• D. 30^o,45^o,90^o

Answer 1

The correct option is C 30^o,60^o,90^o

Since the angles are in the ratio 2 : 4 : 6 , it is equivalent to ratio 1 : 2 : 3.
Let "$x^{\circ }$” be the first angle , then other angles are $(2x{)}^{\circ },(3x{)}^{\circ }$
We know that sum of the angles of the triangle is ${180}^{\circ }$
$\Rightarrow x+2x+3x={180}^{\circ }$
$\Rightarrow 6x={180}^{\circ },\Rightarrow x=\frac{180}{6}={30}^{\circ }$
$\Rightarrow$ Other angles are $(2x={60}^{\circ })$ and $(3x={90}^{\circ })$.