The complement of an angle and the supplement of the same angle add up to 130°. What is the angle?

Explanation

1. 01

   Complement + supplement = $(90^\circ - x) + (180^\circ - x) = 270^\circ - 2x$.

2. 02

   $270 - 2x = 130$, so $2x = 140$ and $x = 70^\circ$.

3. 03

   Check: complement 20°, supplement 110°, total 130°.