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.
$\frac{5\pi }{9},\frac{5\pi }{18}$

Answer 1

We have Two angles,

Let the third angle be x.

Then According to the sum of the triangle,

$\frac{5\pi }{9}+\frac{5\pi }{18}+x=\pi$

$\Rightarrow x=\pi -\frac{15\pi }{18}\Rightarrow x=\frac{\pi }{6}$

$\Rightarrow x=\frac{\pi }{6}\times \frac{180}{\pi }={30}^{\circ }$