Answer:

2x=3y=6z (1)

x+y+z=180⁰ ( angle sum property of a triangle)(2)

2x=3y .... from 1

2/3x=y (3)

2x=6z

z=1/3x (4)

from equation 2, 3 and 4,

x+2/3x+1/3x=180⁰

x+3x/3=180⁰

x=90⁰

from equation 3,

2/3x=y

y=60⁰

from equation 4,

z=1/3x

z=30⁰

therefore x=90⁰,y=60⁰,z=30⁰.