Angles in Standard Position — Quiz

Question 1 • 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 (negative 4 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 (2 comma negative 3). 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 3). 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 4 comma 5). An arrow starts from the horizontal ray and curves counterclockwise toward the other ray.

Explanation

An angle has a positive measure when it is traced counterclockwise from its starting ray. In choice D, the arrow moves counterclockwise from the positive horizontal ray toward the ray passing through (−4, 5), so its measure is positive. The arrows in A, B, and C move clockwise, indicating negative measures.

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