Question

two angles are complementary that measure 90 degrees. the measure of one angle is 1 1/2 times the measure of the other. Find the mearsure of each angle.

Answer 1

36 and 54

Answer 2

let the angles be x and 1 1/2x

\[x+1\frac{1}{2}x=90\]
\[2\frac{1}{2}x=90\]
\[\frac{5}{2}x=90\]
\[x=\frac{90*2}{5}\]
\[x=36\]
angles are 36 and (3/2)*36=54