m∠1=125°

and m∠4=(x+35)°


What equation will solve for x
?

(1 point)
x°+blank°=blank°

°
=
°

1 answer

To solve for \( x \) using the angles given, we first need to identify the relationship between the angles.

Assuming that angles ∠1 and ∠4 are supplementary (i.e., they add up to 180°), we can set up the equation as follows:

\[ m∠1 + m∠4 = 180° \]

Substituting the values into this equation:

\[ 125° + (x + 35)° = 180° \]

Now, we can simplify and solve for \( x \):

\[ 125 + x + 35 = 180 \]

Combining the constants on the left side gives:

\[ x + 160 = 180 \]

Subtracting 160 from both sides yields:

\[ x = 20 \]

So, the equation to solve for \( x \) can be expressed as:

\[ x + 160 = 180 \]

Hence, filling in the blanks in the given format, we have:

\( x° + 160° = 180° \)

Thus, the final answer is:

  • \( x° + 160° = 180° \)
  • \( ° \) = \( 180° \)