Q:

If the figure has rotational symmetry, list the angles of rotation less than 360°. Enter the angles from least to greatest, separated by commas. If the figure does not have a rotational symmetry, enter the number zero. The list of angles of rotation is ??

Accepted Solution

A:
Answer:The angles of rotation less than 360° from least to greatest are45°,90°,135°,180°,225°,270°,315°Step-by-step explanation:we know thatThe figure is a regular octagonA 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 orderThe order of any regular polygon is the number of sidesAn octagon is an eight-sided figure, so the order is eightAn octagon has an angle of rotation of 360/8=45 degreesThe angles of rotation will be1) 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°thereforeThe angles of rotation less than 360° from least to greatest are45°,90°,135°,180°,225°,270°,315°