Angles in Standard Position: Video e Problemi di Pratica

If acute, right, and obtuse are encoded by $1$, $2$, and $3$, respectively, determine the code for the smaller positive angle formed by the terminal sides of ${35}^{\circ }$ and ${140}^{\circ }$.

The terminal side of an angle in standard position lies in Quadrant II and makes a ${30}^{\circ }$ reference angle with the negative $x$-axis. Find the positive angle measure in standard position.

A terminal side in standard position lies in Quadrant IV and forms a ${40}^{\circ }$ angle below the positive $x$-axis. Find the negative angle measure represented by this terminal side.

Starting from the positive $x$-axis, an angle rotates counterclockwise through $4\left({360}^{\circ }\right)+{225}^{\circ }$. If Quadrant I, II, III, and IV are encoded as $1$, $2$, $3$, and $4$, enter the quadrant number containing the terminal side.

One angle in standard position is $-{60}^{\circ }$ and another is ${150}^{\circ }$. Find the smaller positive angle between their terminal sides.

The terminal side of an angle in standard position lies exactly on the negative $x$-axis. Find the least positive angle measure.