If (\alpha=220^\circ) then which reference angle and principal radian angle are correct?

Question

Answer and explanation

Correct answer: (40^\circ) and (\frac{11\pi}{9})

(220^\circ) is in the third quadrant so the reference angle is (40^\circ). (220^\circ=\frac{11\pi}{9}) radians.

What is the correct answer to this question?

(40^\circ) and (\frac{11\pi}{9})

Why is this the correct answer?

(220^\circ) is in the third quadrant so the reference angle is (40^\circ). (220^\circ=\frac{11\pi}{9}) radians.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.