Question

Find x and y please thanks

Answer 1

X=16 and y=21.

∠2 and the angle marked 69° are congruent.  The wake is a transversal across these parallel lines; ∠2 and the line adjacent to ∠1 will be corresponding angles, so they are congruent; similarly, the angle adjacent to ∠1 is a corresponding angle with the angle marked 69°.  This gives us the equation

3x+y=69

Isolating y, we have
y = 69 - 3x

We know that ∠2 and ∠1 are same-side interior angles, so they are supplementary; we also know that ∠2 = 69.  This means that ∠1+69 = 180.  Using the expression for ∠1, this gives us
3x+3y+69=180

Subtracting 69 from both sides we have
3x+3y=111

Substituting the value for y we isolated earlier, we have
3x+3(69-3x)= 111

Using the distributive property we have
3x+207-9x = 111

Combining like terms,
-6x+207=111

Subtract 207 from both sides:
-6x=-96

Divide both sides by -6:
x = 16

Plug this into the equation we had for ∠2:
y=69-3x
y=69-3(16)
y=69-48
y=21

Answer 2

We know that

angle 69° and angle 1-----> are supplementary angles
so
69+angle 1=180°------> 69°+(3x+3y)=180------> 3x+3y=111----> equation 1

angle 69°=angle 2------> by corresponding angles
so
69=3x+y------> equation 2

using a graph tool
see the attached figure

the solution is
x=16°
y=21°

the answer is
x=16°
y=21°