Answer :

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].