Since the angles are supplementary this means that:
[tex]m\measuredangle A+m\measuredangle B=180[/tex]Plugging the expressions for each angle and solving for x we have:
[tex]\begin{gathered} 2x+10+2x+2=180 \\ 4x+12=180 \\ 4x=168 \\ x=\frac{168}{4} \\ x=42 \end{gathered}[/tex]Once we know the value of x we plug in the expression for angle A to find its measurement:
[tex]2(42)+10=94[/tex]Therefore the angle A is 94°.
