To solve for \( x \) using the information provided, we first need to understand the relationship between the angles \( M \angle 1 \) and \( m \angle 4 \).
Given:
- \( M \angle 1 = 125^\circ \)
- \( m \angle 4 = x + 35 \)
If these angles are related by a property (like being supplementary), we can set up an equation. For example, if they are supplementary angles, we would have:
\[ M \angle 1 + m \angle 4 = 180 \]
Substituting the values:
\[ 125 + (x + 35) = 180 \]
Now we simplify the equation:
\[ 125 + x + 35 = 180 \]
Combine like terms:
\[ x + 160 = 180 \]
Now, to isolate \( x \):
\[ x + 160 - 160 = 180 - 160 \]
\[ x = 20 \]
To express the equation in the format you requested \( x + _ = _ \):
We can rewrite it as:
\[ x + 160 = 180 \]
So, the completed equation is:
\[ x + 160 = 180 \]