State if the given angles are coterminal. `alpha=185^0,beta=-545^0` `alpha=(17pi)/(36),beta(161pi)/(36)`

Explanation

To determine if the given angles \( \alpha = 185^\circ \) and \( \beta = -545^\circ \) are coterminal, we will follow these steps:

### Step 1: Understand Coterminal Angles
Coterminal angles are angles that share the same terminal side when drawn in standard position. Two angles are coterminal if their difference is a multiple of \( 360^\circ \).

### Step 2: Calculate the Difference
We will calculate the difference between \( \alpha \) and \( \beta \):

...