25% of an angle is the complement of 50°. Find the angle.

The complement of an angle is found by subtracting it from 90°.

∴ 90° − 50° = 40°

Let the required angle be x.

$25\% \text { of } x = 40^{\circ} \\[1em] \Rightarrow \dfrac{25}{100} \times x = 40^{\circ} \\[1em] \Rightarrow \dfrac{1}{4} \times x = 40^{\circ} \\[1em] \Rightarrow x = 40^{\circ} \times 4 \\[1em] \Rightarrow x = 160^{\circ}$

Hence, the required angle is 160°.