To solve for [tex]\( x \)[/tex] in the equation [tex]\( x^\circ + 62^\circ = 180^\circ \)[/tex], follow these steps:
1. Start by understanding that the equation represents a relationship where the angles are supplementary. Supplementary angles add up to [tex]\( 180^\circ \)[/tex].
2. Given [tex]\( x^\circ + 62^\circ = 180^\circ \)[/tex], isolate [tex]\( x \)[/tex].
3. Subtract [tex]\( 62^\circ \)[/tex] from both sides of the equation to solve for [tex]\( x \)[/tex]:
[tex]\[
x = 180^\circ - 62^\circ
\][/tex]
4. Perform the subtraction:
[tex]\[
180^\circ - 62^\circ = 118^\circ
\][/tex]
Thus, the solution for [tex]\( x \)[/tex] is [tex]\(\boxed{118}\)[/tex].