Question

Please help me if you can!

Answer 1

Answer:

y = 7

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               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