Hexagons total angles= 720degrees
Quadrilateral total angles= 360degrees
I divided all the shapes in the larger shape into
9 Kites= 360degrees
9 Hexagons= 720degrees
9 Concave Hexagons= 720degrees
Kites
There were 9 kites around the 360degrees point in the middle, 360degrees divided by 9= 40degrees
To figure the angle at the top of the kite out I had to solve an angle for the hexagon. The angle was 100degrees and I will tell you how I got that later.
Because 180-100=80, 80 was the amount of degrees at the top of the kite.
80+40= 120degrees which gave me 240degrees to reach 360degrees but since the remaining angles were symmetrical it meant the 240 divided by 2= 120
40degrees for the bottom of the kite
80degrees for the top of the kite
120degrees for both sides.
40+80+(120x2)=360degrees