To find an equation that solves for \( x \), we need to examine the relationship between the angles given. The information provided includes \( m∠1 = 125° \) and \( m∠4 = (x + 35)° \).
If these two angles are supplementary (which means they add up to 180°), we can set up the equation as follows:
\[ 125° + (x + 35)° = 180° \]
Now we can simplify this into a solvable equation:
- Combine the constants:
\[ 125 + x + 35 = 180 \]
- This simplifies to:
\[ x + 160 = 180 \]
To write this in the form you requested \( x° + , ° = , ° \), we can state:
\[ x + 160 = 180 \]
So the equation that will solve for \( x \) is:
\[ x + 160 = 180 \]
Now you can solve for \( x \) by subtracting 160 from both sides:
\[ x = 180 - 160 \]
Thus:
\[ x = 20 \]
Let me know if you need any further assistance!
1 answer