Question

If the sum of the measures of two angles is ${540}^0$ and their difference is ${60}^0$, find their measures in radians.

Answer 1

To convert radian to degree,

Degree=$radian\times \frac{180°}{\pi }$

$3\pi \times \frac{180°}{\pi }$ = $540°$

$x+y=540°----\left(1\right)$

$x-y=60°----\left(2\right)$

$\left(1\right)+\left(2\right)=2x=600°$

$x=300°$

value substitute in (1)

$y=140$

Radians for ${300}^o=\frac{942.477}{180}=5.23$

Radians for ${140}^o=\frac{439.822}{180}=2.45$