2011-10-22, 11:57 AM
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Then you can find the two missing angles at the bottom because the triangle is isosceles, meaning that the two angles must equal 180-20=160. Each angle will then be 80 degrees, so solve for the missing piece.
This leaves you with only a few missing sections, so I labeled them with variables. The equations for finding these variables are:
Theta + a = 140 (since the angle of the side will be 180 total)
a + b = 160 (since the top triangle's internal angles make 180 total)
b + c = 130 (since the angle of the side will be 180 total)
c + Theta = 110 (since the center triangle will have 180 total)
From there, you need to locate the number that will make all 4 true, which is pretty easy since Theta isn't very big to begin with. If somebody has a faster way of finding the angle through those 4 equations, I'd be glad, because I used guess and check, though I suppose some insane substitution could work.[/COLOR]
picture
The middle of the triangles is defined by the fact that all internal angles of a triangle make 180 degrees, using that you can find 70 for the top angle. The angles that make up a line are 180 degrees as well, allowing you to find the 110s, which lets you get the other 70 because of the total being 360.![[Image: dw26pg.png]](http://i53.tinypic.com/dw26pg.png)
Then you can find the two missing angles at the bottom because the triangle is isosceles, meaning that the two angles must equal 180-20=160. Each angle will then be 80 degrees, so solve for the missing piece.
This leaves you with only a few missing sections, so I labeled them with variables. The equations for finding these variables are:
Theta + a = 140 (since the angle of the side will be 180 total)
a + b = 160 (since the top triangle's internal angles make 180 total)
b + c = 130 (since the angle of the side will be 180 total)
c + Theta = 110 (since the center triangle will have 180 total)
From there, you need to locate the number that will make all 4 true, which is pretty easy since Theta isn't very big to begin with. If somebody has a faster way of finding the angle through those 4 equations, I'd be glad, because I used guess and check, though I suppose some insane substitution could work.[/COLOR]