* Moon's Cycle: A full cycle of the moon (from new moon to full moon and back) takes approximately 29.5 days.

* Earth's Orbit: The Earth takes approximately 365.25 days to orbit the Sun.

* Degrees in a Circle: A circle has 360 degrees.

Calculation:

1. Earth's Daily Movement: The Earth moves approximately 360 degrees / 365.25 days = 0.986 degrees per day.

2. Earth's Movement in a Lunar Cycle: In 29.5 days, the Earth moves 0.986 degrees/day * 29.5 days = 29.1 degrees.

Therefore, the Earth moves approximately 29.1 degrees around the Sun during one full cycle of the moon.