Question

question 16 of 25
which angle is coterminal to a 165° angle?
a. an angle measuring -185°
b. an angle measuring -195°
c. an angle measuring -175°
d. an angle measuring -165°

Explanation:

Step1: Define coterminal angles

Coterminal angles differ by $360^\circ k$ ($k$ integer). So $\theta = 165^\circ + 360^\circ k$.

Step2: Find $k$ for negative angle

Set $k=-1$: $\theta = 165^\circ - 360^\circ = -195^\circ$.

Step3: Match with options

$-195^\circ$ is option B.

Answer:

B. An angle measuring -195°