If we want to find the reference angle, you have to find the smallest possible angle formed by the x-axis and the terminal line, going either clockwise or counterclockwise.
In this case, the angle 290° is in the fourth quadrant, so the reference angle can be drawn and calculated as:
The reference angle can be calculated as:
![360-290=70\degree](https://img.qammunity.org/2023/formulas/mathematics/college/to8ixgp8r01h20ipso8hzegeofdohftpr6.png)
Answer: the reference angle for 290° is 70°.