Angles in Standard Position — Quiz

Question 8 • Mathematics III

Which angle has a positive measure?

Answer

Image with description A four-quadrant coordinate plane with an angle. One ray starts at (0 comma 0) and passes through (4 comma 0). One ray starts at (0 comma 0) and passes through (4 comma negative 1). An arrow starts from the horizontal ray and curves clockwise toward the other ray.

Image with description A four-quadrant coordinate plane with an angle. One ray starts at (0 comma 0) and passes through (4 comma 0). One ray starts at (0 comma 0) and passes through (negative 2 comma negative 4). An arrow starts from the horizontal ray and curves clockwise toward the other ray.

Image with description A four-quadrant coordinate plane with an angle. One ray starts at (0 comma 0) and passes through (4 comma 0). One ray starts at (0 comma 0) and passes through (4 comma 1). An arrow starts from the horizontal ray and curves clockwise toward the other ray.

Image with description A four-quadrant coordinate plane with an angle. One ray starts at (0 comma 0) and passes through (4 comma 0). One ray starts at (0 comma 0) and passes through (negative 3 comma negative 3). An arrow starts from the horizontal ray and curves counterclockwise toward the other ray.

Explanation

A positive angle is measured counterclockwise from its starting ray. In choice D, the arrow turns counterclockwise from the positive horizontal ray to the ray in the third quadrant, so the angle has a positive measure. The arrows in A, B, and C turn clockwise, which indicates negative angles.

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