Question

iv. determine the measure of each angle. keep units consistent. must show work! 19.) 540° 20.) 21.) -720° 22.)

Explanation:

Step1: Analyze 19th angle

The angle is a full - circle (360°) plus an additional 180°. So the measure is $360^{\circ}+180^{\circ}=540^{\circ}$.

Step2: Analyze 20th angle

The angle is a full - circle (360°) plus an additional 270°. So the measure is $360^{\circ}+270^{\circ}=630^{\circ}$.

Step3: Analyze 21st angle

The angle is a negative angle. It makes two full - circles in the clock - wise direction (2×360° = 720°). So the measure is $- 720^{\circ}$.

Step4: Analyze 22nd angle

The angle is a full - circle (360°) plus an additional 135°. So the measure is $360^{\circ}+135^{\circ}=495^{\circ}$.

Answer:

1. $540^{\circ}$
2. $630^{\circ}$
3. $-720^{\circ}$
4. $495^{\circ}$