Question

if the ratio of three angles of a triangle be 15:19:26, find the values of the three angles?​

Answer 1

The angles are 45°, 57° and 78°

Answer 2

                          let the angle measure of triangle be  x

since the ratio of three angles of triangle be 15:19:26,

so the three angles thus obtained be 15x , 19x , 26x.

we know that ,

    the sum of angles of triangles be 180°.

so , 15x+19x+26x=180

          60x=180

            x=180/60

             x=3

so first angle is 15x=15×3=45°

second angle is 19x=19×3=57°

third angle is 26x=26×3=78°

     so angles of triangle are 45°,57°,78°.