Question

Angle D has a measure between 0 and 360 and is coterminal with a –920° angle. What is the measure of angle D?

155°
160°
165°
170°

Answer 1

The correct answer for the question that is being presented above is this one: "160°" Coterminal angles of -920 are -200, 160. Coterminal angles are drawn in standard position, share a terminal side. Angle D has a measure between 0 and 360 and is coterminal with a –920° angle.

Answer 2

Answer: Second option 160°

We can find the coterminal angles adding or subtracting 360°. In this case our angle is -920°, and we need a coterminal between 0° and 360° (positive), then we add to the given angle 360° until we get an angle between 0° and 360°:
-920°+360°=-560°<0° No
-560°+360°=-200°<0° No
-200°+360°=160° and 0°<160°<360° Ok
160°+360°=520°>360° No

Answer: The measure of angle D is 160°.