Answer:
y = 7
Explanation:
We know that the sum of the measures of angles on one side of the parallelogram is 180°.
We have the equation:
(6x - 12) + (132 - x) = 180
6x - 12 + 132 - x = 180 combine like terms
(6x - x) + (-12 + 132) = 180
5x + 120 = 180 subtract 120 from both sides
5x = 60 divide both sides by 5
x = 12
Opposite angles in the parallelogram are congruent.
Therefore:
6y + 18 = 6x - 12
Put the value of x to the equation and solve it for y:
6y + 18 = 6(12) - 12
6y + 18 = 72 - 12
6y + 18 = 60 subtract 18 from both sides
6y = 42 divide both sides by 6
y = 7