Question

The measure of one angle of a right triangle is 28∘ more than the measure of the smallest angle. Find the measure of the smallest angle.

Answer 1

$\begin{gathered} x=\text{measure of the smallest angle} \\ 90+x+(x+28)=180 \\ 90+x+x+28=180 \\ 90+2x+28=180 \\ 2x+118=180 \\ 2x=180-118 \\ 2x=62 \\ x=\frac{62}{2} \\ x=31 \\ \text{The measure of the smallest angle is 31 \degree} \end{gathered}$