Question 809054
If the two angles are supplementary, it means they add up to 180 degrees.

Let's call them x and y.
If x is 4deg less than 3y, then;

{{{x=3y-4}}} -------------- eqn(1)

Remember,
{{{x+y = 180}}} --------------- eqn(2)

Substitute (3y-4) for x in eqn. 2
{{{(3y-4)+y = 180}}}

Open brackets:
{{{3y-4+y = 180}}}

Collect like terms:
{{{3y+y=180+4}}}

{{{4y=184}}}

Divide both sides by 4, the co-efficient of y:

{{{y= 46}}}

But,
{{{x=3y-4}}} ------------ eqn(1)

Therefore,
{{{x=3(46)-4}}}
{{{x= 134}}}

Therefore,
{{{x= 134; y= 46}}}

[CHECK]
{{{x+y=180}}}
{{{134+46=180}}}


Read through and ask questions if you do not fully comprehend the solution. Good luck!