Question

Two angles of a triangle are 5π/9radian. and 5π/18radian.Find the degree and radian measure of third angle.​

Answer 1

Answer:

Say third angle is c

so

(5Π/9)+(5Π/18)+c=180°

or Π in radians

so

(5Π/9)+(5Π/18)-Π+c=0

so

c=-5Π(1/9+1/18)+Π

=Π-5Π(2/18+1/18)

=Π-5Π/18

=13Π/18

=13*180/18

=13*10

So c=130° ANSWER