If the radian measures of two angles of a triangle are 3π/5,4π/15, then the radian measure of third angle is ​

Question

If the radian measures of two angles of a triangle are \(\frac{3\pi}5\),\(\frac{4\pi}{15}\), then the radian measure of third angle is

(A) \(\frac{\pi^c}{15}\)

(B) \(\frac{2\pi^c}{15}\)

(C) \(\frac{\pi^c}{5}\)

(D) \(\frac{4\pi^c}{15}\)

Answer 1

(B) \(\cfrac{2\pi^c}{15}\) 

Let the measure of third angle of the triangle 

be x