Question

question 1 of 30
which angle is coterminal with 140°?
a. 500°
b. 490°
c. 320°
d. -140°

Explanation:

Step1: Define coterminal angles

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

Step2: Test $k=1$

$140^\circ + 360^\circ(1) = 500^\circ$.

Step3: Check other options

$140^\circ + 360^\circ(0.416)≠490^\circ$, $140^\circ - 360^\circ(0.111)≠320^\circ$, $140^\circ - 360^\circ(0.777)≠-140^\circ$.

Answer:

A. 500°