which expression finds the measure of an angle that is coterminal with a 126° angle?\n126° + (275n)°, for…

which expression finds the measure of an angle that is coterminal with a 126° angle?\n126° + (275n)°, for any integer n\n126° + (375n)°, for any integer n\n126° + (450n)°, for any integer n\n126° + (720n)°, for any integer n

which expression finds the measure of an angle that is coterminal with a 126° angle?\n126° + (275n)°, for any integer n\n126° + (375n)°, for any integer n\n126° + (450n)°, for any integer n\n126° + (720n)°, for any integer n

Answer

Explanation:

Step1: Recall coterminal - angle formula

Coterminal angles of an angle $\theta$ are given by $\theta\pm360^{\circ}n$, where $n$ is an integer. Since $720^{\circ}=2\times360^{\circ}$, adding or subtracting multiples of $720^{\circ}$ to an angle will give a coterminal angle.

Step2: Analyze each option

For the angle $\theta = 126^{\circ}$, when we add $(720n)^{\circ}$ (where $n$ is an integer), we get a coterminal angle. The other options ($275n$, $375n$, $450n$) are not multiples of $360$.

Answer:

D. $126^{\circ}+(720n)^{\circ}$, for any integer $n$