Question

40 Points!!

Instructions: Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
ABCDEFGHIJ is a regular decagon. It rotates clockwise about its center to form the polygon A′B′C′D′E′F′G′H′I′J′. Match each angle of rotation to the point that A′ (the image of A) coincides with after that rotation.
Tiles
252º
108º
135º
180º
288º
324º
Pairs
D :
F :
H :
I :

Answer 1

A decagon has 10 sides.
To compute for the sum of its interior angles:
(n-2) x 180°

regular decagon:
(10-2) x 180° = 8 x 180° = 1440°
1440° / 10 sides = 144°

A' = 144°
B' = 288°
C' = 432°
D' = 576°
E' = 720°
F' = 864°
G' = 1,008°
H' = 1,152°
I' = 1,296°
J = 1,440°