Answer :
The measure of x is [tex]\angle x=24^{\circ}[/tex]
Explanation:
It is given that [tex]$\angle x$[/tex] and [tex]$\angle y$[/tex] are supplementary angles.
The two angles are said to be supplementary if their angles add up to 180°
Thus, we have,
[tex]\angle x+\angle y=180^{\circ}[/tex]
Also, it is given that [tex]\angle y=156^{\circ}[/tex]
Substituting the value in the expression [tex]\angle x+\angle y=180^{\circ}[/tex], we have,
[tex]\angle x+$156^{\circ}$=180^{\circ}[/tex]
Subtracting both sides by [tex]$156^{\circ}$[/tex], we get,
[tex]\angle x+$156^{\circ}$-156^{\circ}=180^{\circ}-156^{\circ}[/tex]
[tex]\angle x=24^{\circ}[/tex]
Thus, the measure of x is [tex]\angle x=24^{\circ}[/tex]