Question

Find the angle of the least positive measure coterminal with the given angle:642°A. 462 B. 282 C. 321 D. 272

Answer 1

The given angle is 642 degrees.

To find a coterminal angle we need to add or subtract by 360 degrees.

The angle of 642 degrees is positive and above 360 degrees.

So subtract 360 from 642 we get

`642^o-360^o=282^o`

If we subtract 360 again from 282, we will get a negative.

Hence the least positive measure coterminal with 642 degrees is 282 degrees.