Question

The reference angle for an angle whose measure is -440 degrees is

Answer 1

check the picture below.

if we go around the circle "clockwise", namely in the same direction as in a clock's hands, say -360°, that's going around the whole circle once, namely one revolution. Now if we go further -80°, that'd be -360° - 80°, or -440°.

the reference angle is the angle made by that terminal point, with the x-axis, like in the picture.

Answer 2

Explanation:

Given that an angle measures 440 degrees with a negative sign.

Negative sign represents clockwise position

When we measure from positive x axis the rotation clockwise, we get negative 440 ends at the fourth quadrant after one rotation making 80 degrees clockwise with x axis.

This can be taken as 360-80 positive or 280 degrees

Reference angle is 280 degrees