A. 15+18 is the correct answer by using distribution property
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Hope this helps with the answer to your question
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
