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can go from quarter to half to 75 to a full moon there is also gibbous and crescent moon phases, but generally it starts in the west 

Moon can go through phases from quarter to half to three-forth to a full moon.

What is Full moon?

When the moon is in its full brightness and its whole disc is illuminated.

The Moon reflects its light from the Sun. Only the part of the Moon that faces the Sun is visible. As the Moon revolves around the Earth, its shadow covers part of its surface. The full moon occurs when the entire moon is visible. A quarter way through the cycle, half of the moon is visible, known as the first quarter. When the Moon seems to disappear, which is known as a new moon or no moon.

Thus, Moon can go through phases from quarter to half to three-forth to a full moon.

Learn more about Full moon.

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