Find the measure of an angle between 0 and 360 coterminal coterminal with the given angle 495 degrees

135 degrees

Step-by-step explanation:

Coterminal means it ends at the same spot around the circle.

To calculate the resulting angle we need to reduce/increase the started value to arrive to a value between 0 and 359 degrees.  

If the starting angle is greater or equal to 360, we subtract 360 until we get below 360.

If the starting angle is below 0, we add 360 until we get equal or greater than 0.

So, starting with 495, we subtract 360 a first time

A = 495 - 360 = 135

We're already in the desired range (0-359)... so we have our answer.