Question

Give THREE angles between 0° and 360° which have the same reference angles as a rotation angle of 290°.

a) 70°, 160°, 250°
b) 80°, 170°, 260°
c) 45°, 135°, 225°
d) 30°, 120°, 210°

Answer 1

To find angles with the same reference angle as 290°, add or subtract multiples of 360°. The angles with the same reference angle are 70°, 160°, and 250°.

Step-by-step explanation:

When finding angles with the same reference angle as a rotation angle of 290°, we need to add or subtract multiples of 360° to find these angles. Here are three angles between 0° and 360° with the same reference angle:

1. 70°: 290° + 70° = 360°
2. 160°: 290° + 160° = 450°, subtract 360° to get 90°, which is between 0° and 360°
3. 250°: 290° - 250° = 40°

Thus, the accurate angles sharing the same reference angle as 290° are a) 70°, 160°, and 250°, showcasing the utilization of 360° multiples to identify these associated angles.