Question

Which expression finds the measure of an angle that is coterminal with a 126° angle?

126° + (275n)°, for any integer n
126° + (375n)°, for any integer n
126° + (450n)°, for any integer n
126° + (720n)°, for any integer n

Answer 1

126° + (720n)°, for any integer n

Explanation:

Conterminal Angles of an angle are the angles who share the same initial side and terminal sides.

Also, we can find the conterminal angle of an angle by adding or subtracting 360°. ( When angle is given in degree ),

For example, if Ф is an angle,

Then, its conterminal angles are,

Ф + 360 n, for an integer n,

Here, Ф = 126°,

Hence, its conterminal angles are,

126° + ( 360 n)°,

Since, n is an integer,

⇒ 2n is an integer,

So, the co-terminal angle of 126° can be written,

126° + ( 360×2n )°= 126° + ( 720n)°, for any integer n.