Question e362d5ab

Geometry and Trigonometry - Right triangles and trigonometry

For two acute angles, $∠ Q$ and $∠ R$ , $\cos (Q) = \sin (R)$ . The measures, in degrees, of $∠ Q$ and $∠ R$ are $x plus 61$ and $4 x plus 4$ , respectively. What is the value of $x$ ?