Answer: x would have to equal 8
Step-by-step explanation: When a line intersects parallel lines it forms supplementary angles. The sum of two supplementary angles is 180°
We can use this information to set up an equation:
(6x -7 ) + (19x -13) = 180 . Combine like terms
25x -20 = 180 Add 20 to both sides.
25x = 200 Divide both sides by 25
x = 8
Check:
19(8) - 13 + 6(8) - 7 = 180
152 - 13 + 48 -7 = 180
139° + 41° = 180
The sum of the interior angles formed by the line is 180°, so lines a and b must be parallel.
