Question

If the radian measures of two angles of a triangle are as given below . find the radian measure and the degree measure of the third angle then.
$\frac{3\pi }{5},\frac{4\pi }{15}$

Answer 1

We have two angles of the triangle

$\frac{3\pi }{5},\frac{4\pi }{15}$

Let the third angle be $x$

So, $\frac{3\pi }{5}+\frac{4\pi }{15}+x=\pi \Rightarrow \pi -\frac{13\pi }{15}=\frac{2\pi }{15}rad$

In Angle $x=\frac{2\times 180}{15}={24}^{\circ }$