If ( \theta ) and ( \phi ) are coterminal and ( \theta=5x+20^\circ ), ( \phi=x+380^\circ ), what is the value of (x)?

Question

Answer and explanation

Correct answer: (90^\circ)

For coterminal angles the difference can be (360^\circ), so (5x+20^\circ=x+380^\circ) gives (x=90^\circ). Form a linear equation.

What is the correct answer to this question?

(90^\circ)

Why is this the correct answer?

For coterminal angles the difference can be (360^\circ), so (5x+20^\circ=x+380^\circ) gives (x=90^\circ). Form a linear equation.

Which subject and chapter does this question cover?

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