Question

If 6x=9y find the value of x:y.​

Answer 1

A complete angle is one which measures 360∘360∘.

The three angles

6x+20∘,9y+30∘,3z+40∘6x+20∘,9y+30∘,3z+40∘

add up to 360∘360∘, as per the question.

6x+20∘+9y+30∘+3z+40∘=360∘6x+20∘+9y+30∘+3z+40∘=360∘

⟹3(2x+3y+z)+90∘=360∘⟹3(2x+3y+z)+90∘=360∘

⟹3(2x+3y+z)=270∘⟹3(2x+3y+z)=270∘

⟹2x+3y+z=90∘⟹2x+3y+z=90∘

This is the required relation.