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°

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: Second option 160°

We can find the coterminal angles adding or subtracting 3 60°. 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°.