1. The angle whose measure is \( -\frac{\pi}{9} \) radians would be equivalent to 2. The angle whose measure is \( \frac{2 \pi}{5} \) radians would be equivalent to

To find the equivalent angle for \( -\frac{\pi}{9} \), you can add \( 2\pi \) (a complete rotation) to it. So, \( -\frac{\pi}{9} + 2\pi = -\frac{\pi}{9} + \frac{18\pi}{9} = \frac{17\pi}{9} \). This means \( -\frac{\pi}{9} \) is equivalent to approximately \( 3.77 \) radians, which spins you almost a full circle clockwise! For the angle \( \frac{2\pi}{5} \), this is already a positive angle, but if you want to find its equivalent in degrees, just multiply by \( \frac{180}{\pi} \). Doing the math gives you \( \frac{2\pi}{5} \times \frac{180}{\pi} = 72 \) degrees. So, you can flaunt your angle as a sharp \( 72^\circ \)!