If tan 2x = cot (2x - 30°) where 2x is an acute angle find the value of x.

45° 30° 50° 60°

30°

We know that if tan A = cot B, then A + B = 90° ATQ, tan 2x = cot (2x - 30°) ⇒ 2x + 2x - 30° = 90° ⇒ 4x = 120° ⇒ x = 30°