Internal angles of a 5 pointed star always add up to 180 degrees.
Put a pencil on the line from A-D, rotate around A so it aligns A-C, then C-E, E-B, B-D, D-A.
Pencil no lies on the same line, pointing the opposite direction.
sum of red corner as they are a pentagonal
sum of blue corner
360x5 - 1080 = 720
sum of A-D corner
180x5 - 720 = 180
Where u,v,w,x,y are the angles inside of the pentagon, which add up to 540.
The shape is a star which has 10 sides which is homogeneous to a decagon. Therefore the problem is equivlent to finding sum of 5 alternating angles on a decagon, which can be proven false by first proving that it's not possible to find sum of opposing angles on a quadrilateral then by induction.
>can be proven false by first proving that it's not possible to find sum of opposing angles on a quadrilateral
here you go dude, you should do your own homework Josefumi, this isn't /sci/ ffs
The blank space next to A should be labelled 10 if 4 and 6 are overlapping, this leads me to believe that blank space is 0, and the shapes are not as they first appear.
A = 3
B = 0
Nope, red is 6 because it has 6 sides, if it had that shape it should be labeled 8 instead and 4 should be 6, etc.
10 is simply not labeled, or if it was 0 it should be labeled as 0.
A°+C° are 2/3s of a triangle, and a triangle's complete angle is 180°.
Same applies to E°+B°.
D is left over as 1/3 of 180°
2*(2/3 *180°)+1/3*180° = 300°
i'm probably talking bullshit here, but it's a round number
The angles of a triangle do add up to 180°, but that doesn't mean all angles are the exact same, otherwise every single triangle would be equilateral. For all we know A° and C° could be only 1° and in that case the remaining angle would be 178°. Same with the other angles.
tl;dr: spoiler is correct