similar triangles have equal angles ... a = 70
(x+y+z) + 3(40) = 360
ok so im not really getting this problem. when i first did the problem i got 180 as an answer. i tried to use the idea that the opposite angles were equal. im sure im saying it wrong, but that approach was wrong. this is what i do know, no matter what x + y + z plus the other 3 angles must add up to 180 degrees
Since the two angles in the bottommost triangle are 70, the third angle would be 180 - 2(70)
Multiply this angle by three since this angle is the same for all three triangles.
Then Subtract this value from 360 and you get x + y + z = 240