Question

find a positive angle less than 360° that is coterminal with the given angle. 490° a positive angle less than 360° that is coterminal with 490° is °.

Explanation:

Step1: Recall coterminal - angle concept

Coterminal angles differ by a multiple of 360°.

Step2: Subtract 360° from the given angle

$490^{\circ}-360^{\circ}=130^{\circ}$
Since $0^{\circ}<130^{\circ}<360^{\circ}$, this is the desired angle.

Answer:

$130$