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+

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+       Log On


   

Question 1148644: 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 josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +3x+%2B+6y+=+180+ degrees
(2) +2x+%2B+10+%2B+40+%2B+z+=+180+ degrees
(3) +6y+=+40+%2B+z+ degrees
--------------------------------------------
angle 5 = +x+%2B+y+%2B+z+
(2) +2x+%2B+z+=+130+
(3) +6y+-+z+=+40+
Add (2) and (3)
(4) +2x+%2B+6y+=+170+
Subtract this result from (1)
(1) +3x+%2B+6y+=+180+
(4) +-2x+-+6y+=+-170+
------------------------------
+x+=+10+
and
(1) +3x+%2B+6y+=+180+
(1) +3%2A10+%2B+6y+=+180+
(1) +6y+=+150+
(1) +y+=+25+
-----------------------------
(3) +6y+-+z+=+40+
(3) +6%2A25+-+z+=+40+
(3) +150+-+z+=+40+
(3) +z+=+110+
-----------------------------
Angle 5 = +x+%2B+y+%2B+z+
Angle 5 = +10+%2B+25+%2B+110+
Angle 5 = +145+ degrees
and
+180+-+145+=+35+
Angle 6 = 35 degrees
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check:
(1) +3x+%2B+6y+=+180+ degrees
(1) +3%2A10+%2B+6%2A25+=+180+ degrees
(1) +30+%2B+150+=+180+ degrees
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You can finish checking