Question

Find the measure of an angle that is 20° more than its complement.

Answer 1

Let the measure of the required angle be x$°$.
Then the measure of its complement = ${\left(90-x\right)}^{\circ }$.
$$\begin{gathered} \Rightarrow x-\left(90-x\right)=20 \\ \Rightarrow x-90+x=20 \\ \Rightarrow 2x=110 \\ \Rightarrow x=55 \end{gathered}$$
Therefore, the measure of the required angle is ${55}^{\circ }$.