The supplement of an angle is five times its complement. What is the angle?

Explanation

1. 01

   Let the angle be $x$. Supplement = $180^\circ - x$, complement = $90^\circ - x$.

2. 02

   $180 - x = 5(90 - x) = 450 - 5x$.

3. 03

   $4x = 270$, so $x = 67.5^\circ$.