Answer:
The measure of the angle is;
[tex]35^{\circ}[/tex]Explanation:
Let x represent the angle.
The complement of angle x is;
[tex](90-x)^{\circ}[/tex]If the measure of an angle increased by 20° is equal to the measure of it's complement. we have;
[tex]x+20=90-x[/tex]Let us solve the equation for x;
[tex]\begin{gathered} x+20=90-x \\ \text{collect the like terms;} \\ x+x=90-20 \\ 2x=70 \\ x=\frac{70}{2} \\ x=35^{\circ} \end{gathered}[/tex]Therefore, the measure of the angle is;
[tex]35^{\circ}[/tex]