To find an equation that relates the angles given, we need to recognize that if \( m∠1 = 125° \) and \( m∠4 = (x + 35)° \), we can set these angles equal to one another if they are supplementary (which would happen if they are on a straight line) or part of any other relational configuration.
-
First, let's assume these angles are supplementary (which means they add up to \(180°\)):
\[ m∠1 + m∠4 = 180° \]
Plugging in the values:
\[ 125° + (x + 35)° = 180° \]
-
Simplifying this equation gives:
\[ 125 + x + 35 = 180 \]
-
Now combining like terms:
\[ x + 160 = 180 \]
To write this in the desired format \( x° + ___° = ___ \):
\[ x + 160 = 180 \]
Thus, the equation that will solve for \( x \) is:
\( x° + 160° = 180° \)
So, you can fill in your blanks as follows:
Answer:
\( x° + 160° = 180° \)
1 answer