Question

which angle is coterminal with a 635° angle? a. an angle measuring 255° b. an angle measuring 275° c. an angle measuring 335° d. an angle measuring 85°

Explanation:

Step1: Recall coterminal angle formula

Coterminal angles differ by multiples of \(360^\circ\). So, to find a coterminal angle of \(635^\circ\), we subtract \(360^\circ\) repeatedly until we get an angle between \(0^\circ\) and \(360^\circ\).

Step2: Subtract \(360^\circ\) from \(635^\circ\)

First subtraction: \(635^\circ - 360^\circ = 275^\circ\). Now, \(275^\circ\) is between \(0^\circ\) and \(360^\circ\), so this is a coterminal angle.

Answer:

B. An angle measuring \(275^\circ\)