SOLUTION: angle 1 supp. angle 2. angle 3 supp. angle 4. angle 5 supp. angle 6. angle 2 is congruent to angle 4 angle 1 = 3x angle 2 =6y angle 3 = 2x+10 angle 4 = 40+z angle 5= x+ y+

Algebra ->  Angles -> SOLUTION: angle 1 supp. angle 2. angle 3 supp. angle 4. angle 5 supp. angle 6. angle 2 is congruent to angle 4 angle 1 = 3x angle 2 =6y angle 3 = 2x+10 angle 4 = 40+z angle 5= x+ y+      Log On


   

Question 1148528: angle 1 supp. angle 2.
angle 3 supp. angle 4.
angle 5 supp. angle 6.
angle 2 is congruent to angle 4
angle 1 = 3x
angle 2 =6y
angle 3 = 2x+10
angle 4 = 40+z
angle 5= x+ y+z
Find angle 6.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
3x + 6y = 180
2x + 10 + 40 + z = 180
x + y + z + (angle 6) = 180
6y = 40 + z

The first, second, and fourth equations are usable.

x + 2y = 60
2x + z = 130
6y - z = 40

Solving, we get (x, y, z) = (10, 25, 110).

Now we can substitute into the third equation:

10 + 25 + 110 + (angle 6) = 180

angle 6 = 35 degrees