Apologies for the confusion. We will use the fact that opposite angles of a quadrilateral are congruent.
Since m∠1 = 125° and m∠4 = (x+35)°, we know that m∠2 is also 125° because it is opposite to ∠1.
Similarly, m∠3 is equal to (x+35)° because it is opposite to ∠4.
Using the fact that the sum of the angles in a quadrilateral is 360°, we can write the equation:
m∠1 + m∠2 + m∠3 + m∠4 = 360°
Substituting the values we have:
125 + 125 + (x+35) + (x+35) = 360
Simplifying the equation:
x + 320 = 360
Subtracting 320 from both sides:
x = 360 - 320
x = 40
Therefore, the equation that will solve for x is x = 40.