Question

find the angle of least positive measure (in degrees, not equal to the given measure) that is coterminal with a.
a = 522°
the measure is (square^{circ}).

Explanation:

Step1: Recall coterminal - angle formula

Coterminal angles differ by multiples of 360°. We want to find a positive angle less than 522° that is coterminal with 522°. Let the coterminal angle be $\theta = 522^{\circ}-n\times360^{\circ}$, where $n$ is a positive integer.

Step2: Determine the value of n

We want to find the smallest positive - integer $n$ such that $\theta>0$. When $n = 1$, $\theta=522^{\circ}-360^{\circ}$.

Step3: Calculate the coterminal angle

$\theta = 522^{\circ}-360^{\circ}=162^{\circ}$

Answer:

$162$