Question

The sum of two angles is $\frac{\pi }{3}$ and their difference is ${15}^o$ then find the angles.

Answer 1

Let the angles be $x$ and $y$.

Given,

$x+y=\frac{\pi }{3}={60}^o$.......(1).

And $x-y={15}^o$.......(2).

Now solving (1) and (2) we get,

$x=\frac{{75}^o}{2}$ and $y=\frac{{45}^o}{2}$.