Question

an angle whose measure is - 302° is in standard position. in which quadrant does the terminal side of the angle fall?
quadrant i
quadrant ii
quadrant iii
quadrant iv

Explanation:

Step1: Convert negative angle to positive

To find the positive coterminal angle, add \(360^\circ\) to \(-302^\circ\):
\(-302^\circ + 360^\circ = 58^\circ\)

Step2: Determine quadrant of \(58^\circ\)

Angles between \(0^\circ\) and \(90^\circ\) lie in Quadrant I. Since \(0^\circ < 58^\circ < 90^\circ\), the terminal side falls in Quadrant I.

Answer:

Quadrant I