Answer:

Find the reference angle:

1. 68°

The reference angle of an angle on the first quadrant is itself.

= 68°

[tex] \frac{17\pi}{45} [/tex]

2. -170°

Add π or 180°.

= 10°

[tex] \frac{\pi}{18} [/tex]

3. 230°

Subtract π or 180°.

= 50°

[tex] \frac{5\pi}{18} [/tex]

4. -430°

Add 1 full rotation or 2π or 360°.

-70°

Since if we add π or 180°, the resulting angle will be an obtuse angle, take the absolute value of the solved angle.

= 70°

[tex] \frac{7\pi}{18} [/tex]

5. 550°

Subtract 3π or 540°.

= 10°

[tex] \frac{\pi}{18} [/tex]