Answer: x = 32
Explanation:
1. Using the supplementary angles rule, we can assume that 2x + 4x - 12 = 180 degrees.
2x + 4x - 12 = 180
Add 2x + 4x to get 6x
6x - 12 = 180
Add 12 to both sides (cancels out 12 in left side)
6x = 192
Divide 6 by both sides (cancels out the 6 from the left)
x = 32
With x you can fill in the blank in the equations
Angle 1 = 4(32) - 12 -> 128 - 12 -> 116
Angle 2 = 2(32) -> 64
Angle 3 = 2(32) + 20 -> 64 + 20 -> 84
Angle 4 = 3(32) -> 96
To check, add angle 1 and 2 to get 180 degrees as stated by rule.
116 + 64 = 180
84 + 96 = 180