Question

What is the reference angle for 295 degrees?

Answer 1

a reference angle is always between 0-90. so 360-295=65deg.
Hints:
Quadrant I angle: reference angle is same as given angle.
Quad II: subtract angle from 180
Quadrant III: subtract 180 from angle
Quad IV: subtract angle from 360.

Answer 2

The reference angle for 295° is 65°.

Explanation:

Consider the provided information.

Reference angle: Reference angle is always less than or equal to 90°

How to find the Reference angle:

Keep subtracting 360 from the provided angle, if the provided angle is greater than 360° (until it is lies between 0 and 360°).

If Angle lies in first quadrant, reference angle for θ will be same as θ.

If Angle lies in second quadrant, reference angle for θ will be 180° - θ.

If Angle lies in third quadrant, reference angle for θ will be θ - 180°.

If Angle lies in fourth quadrant, reference angle for θ will be 360° - θ.

Now consider the provided reference angle 295°.

The angle lies in fourth quadrant so the reference angle for 295° will be 360° - 295°.

Therefore,

360° - 295° = 65°.

Hence, the reference angle for 295° is 65°.