Overall, the appearance of the moon phase correlates with the value of the angle between the sun and moon.

Yes, that's correct! The appearance of the moon phase is determined by the relative positions of the sun, moon, and Earth. The value of the angle between the sun and moon changes throughout the lunar month, causing the visible portion of the moon to appear differently from Earth. This is what gives rise to the different phases of the moon, such as new moon, crescent moon, half moon, gibbous moon, and full moon.

Yes, that's correct! The appearance of the moon phase is determined by the angle between the sun, moon, and Earth. As the moon orbits the Earth, the angle between the sun and the moon changes, and this changing angle is what causes the various phases of the moon that we observe from Earth.