Find the measure of the reference angle for 235°.

Q3: A - Ar = 180,

235 - Ar = 180,
Ar = 235 - 180 = 55 Deg.

To find the measure of the reference angle for 235°, you can follow these steps:

1. Recall that the reference angle is the acute angle formed between the terminal side of an angle in standard position and the x-axis.
2. Start by drawing a coordinate plane and placing the angle 235° in standard position.
3. To do this, start with the positive x-axis extending to the right. Rotate the initial side of the angle counterclockwise until it reaches the given angle of 235°.
4. Now, look at the angle formed between the terminal side of 235° and the x-axis. This angle will be an acute angle.
5. Since angles in standard position always measure counterclockwise, the reference angle is the distance between the terminal side of 235° and the x-axis in a counterclockwise direction.
6. In this case, the reference angle is the acute angle formed between the terminal side of 235° and the nearest x-axis line.
7. By visual inspection, you can see that the terminal side of 235° is 55° clockwise from the nearest x-axis line.
8. Therefore, the reference angle for 235° is 55°.

So, the measure of the reference angle for 235° is 55°.