Three angles which add upto $180^{o}$ are in the ratio $2 : 3 : 7$ . Find them.

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Solution

Let the 3 angles be $2 x, 3 x, 7 x$
So, $2 x + 3 x + 7 x = 180^{o} \Rightarrow 12 x = 180^{o} \Rightarrow x = 15^{o}$

So, Angles will be $2 x = 2 * 15 = 30^{o} 3 x = 3 * 15 = 45^{o} 7 x = 7 * 15 = 105$

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