The angles of a triangle are in the ratio $2 : 3 : 4$ . Then the angles in radian measure is

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$\frac{2 π^{c}}{9}$

$\frac{4 π^{c}}{9}$

$\frac{5 π^{c}}{9}$

$\frac{π^{c}}{3}$

answer is A, B, C.

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Detailed Solution

$2 x + 3 x + 4 x = 180 °$

$9 x = 180 ° \Rightarrow x = 20 °$

$40 °, 60 °, 80 °$

$\frac{D}{90 °} = \frac{2 C}{π} \Rightarrow \frac{40 °}{90 °} = \frac{2 C}{π}$

$\Rightarrow 40 ° = \frac{2 π^{c}}{9}$

$60 ° \Rightarrow \frac{D}{90 °} = \frac{2 C}{π} \Rightarrow \frac{60 °}{90 °} = \frac{2 C}{π} \Rightarrow 60 ° = \frac{π^{c}}{3}$

$80 ° = \frac{80 °}{90 °} = \frac{2 C}{π} \Rightarrow 80 ° = \frac{4 π^{c}}{9}$

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