Answer:
<h2>y = 7</h2>
Step-by-step 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 <em>combine like terms</em>
(6x - x) + (-12 + 132) = 180
5x + 120 = 180 <em>subtract 120 from both sides</em>
5x = 60 <em>divide both sides by 5</em>
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 <em>subtract 18 from both sides</em>
6y = 42 <em>divide both sides by 6</em>
y = 7
and plugging in your numbers, you get 180 - 28 - 37 = 115°.