Question 2 (2 points) 1. The angle whose measure is \( -\frac{\pi}{9} \) radians would be equivalent to -20 2. The angle whose measure is \( \frac{2 \pi}{5} \) radians would be equivalent to 72

Did you know that angles measured in radians come from a relationship with circles? Specifically, one full circle (360 degrees) is equal to \( 2\pi \) radians! So, when you're converting radians to degrees, simply multiply by \( \frac{180}{\pi} \). This means an angle of \( -\frac{\pi}{9} \) radians is actually about -20 degrees, wrapping backward around the circle. Converting \( \frac{2 \pi}{5} \) radians to degrees involves the same formula. Multiplying \( \frac{2 \pi}{5} \) by \( \frac{180}{\pi} \) gives you 72 degrees, meaning this angle opens up an engaging path of interpretation for navigation or physics, where angular measurements are pivotal in fostering various real-world applications such as wave patterns and rotational motion!