Question

m∠1=125° and m∠4=(x+35)°

What equation will solve for x?

(1 point)
x°+ ___ °=___

Answer 1

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.

1. First, let's assume these angles are supplementary (which means they add up to \(180°\)):

\[
m∠1 + m∠4 = 180°
\]

Plugging in the values:

\[
125° + (x + 35)° = 180°
\]

2. Simplifying this equation gives:

\[
125 + x + 35 = 180
\]

3. 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**:

\( x° + 160° = 180° \)