Answer:
The angles of rotation less than 360° from least to greatest are
45°,90°,135°,180°,225°,270°,315°
Step-by-step explanation:
we know that
The figure is a regular octagon
A regular octagon is a closed figure with eight sides of the same length and internal angles of the same size.
The angle of rotation would be 360 degrees divided by the order
The order of any regular polygon is the number of sides
An octagon is an eight-sided figure, so the order is eight
An octagon has an angle of rotation of 360/8=45 degrees
The angles of rotation will be
1) 45°
2) 2(45°)=90°
3) 3(45°)=135°
4) 4(45°)=180°
5) 5(45°)=225°
6) 6(45°)=270°
7) 7(45°)=315°
therefore
The angles of rotation less than 360° from least to greatest are
45°,90°,135°,180°,225°,270°,315°
