Question

question 2 of 10
which angle is coterminal with a 120° angle?
a. an angle measuring 480°
b. an angle measuring 470°
c. an angle measuring 300°
d. an angle measuring - 120°

Explanation:

Step1: Define coterminal angles

Coterminal angles differ by multiples of $360^\circ$: $\theta + 360^\circ k$ ($k$ integer).

Step2: Check option A

$120^\circ + 360^\circ(1) = 480^\circ$, which matches option A.

Step3: Verify other options

B: $470^\circ - 120^\circ = 350^\circ
eq 360^\circ k$; C: $300^\circ - 120^\circ = 180^\circ
eq 360^\circ k$; D: $-120^\circ - 120^\circ = -240^\circ
eq 360^\circ k$.

Answer:

A. An angle measuring 480°