Find an angle which is 5° more than four times its supplement.

Let the angle be x.

Its supplement is (180° - x).

The problem states that the angle is 5° more than four times its supplement.

∴ x = 4(180° - x) + 5

⇒ x = 720° - 4x + 5

⇒ x = 725° - 4x

⇒ x + 4x = 725°

⇒ 5x = 725°

⇒ x = $\dfrac{725^{\circ}}{5}$

⇒ x = 145°

Hence, the required angle measures 145°.