What is the smallest degree of rotation that will map a regular 15-gon onto itself? enter your answer in the box.

The correct answer is:

24°.

Explanation:

To find the degrees of rotational symmetry, you divide 360° by the order of symmetry.

For a regular 15-gon, the order of symmetry is 15 (there are 15 vertices that the polygon can be turned to and be mapped onto itself).

This means the degrees of symmetry would be

360/15 = 24°.

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.