Final answer:
As seen from Mars, a nearby star would exhibit a larger parallax angle over half a Martian year than from Earth, due to Mars's larger orbital baseline relative to Earth's.
Step-by-step explanation:
The question asked is about the parallax angle of a nearby star as seen from Mars compared to Earth. From Mars, a nearby star would exhibit a larger parallax angle over half a Martian year than it would from Earth over half an Earth year. This is because Mars has a larger orbit than Earth, which means the baseline (the distance between the viewpoints at either end of the orbit) is greater. When measuring parallax, astronomers use half the total shift in the star's apparent position as seen from opposite sides of a planet's orbit. Since the parallax angle depends on the baseline, and Mars's orbit provides a larger baseline than Earth's, the parallax angle from Mars would be larger, making it easier to discern the motion of nearby stars against the backdrop of more distant ones.