Question

one of the angles of a triangle is equal to the sum of the other two angles if the ratio of other two angles is 4 ratio 5 find the angles of the triangle ​

Answer 1

Let the two angle be 4x and 5x, then third angle

=4x+5x=9x

So, 4x+5x+9x=180

18x=180

Therefore,. x=10

So, angle are 4x=4×10=40°

5x=5×10=50°

and 9x=9×10=90°

hope this will help you

Answer 2

Let the two angles be 4x and 5x,

Third angle= Sum of two angles

                  = 4x+5x

                  = 9x

According to Question,

180-(4x+5x)=9x

180-9x=9x

180=9x+9x

     = 18x

Switching the rhs to lhs without changing the sign,

18x=180

  x=180/18

    =10

Therefore, the 3 angles 4x= 4*10= 40

                                        5x= 5*10= 50

                                        9x= 9*10= 90