Answer:
x = 58, y = 61
Explanation:
We can use two properties of a parallelogram to solve this
1. The opposite angles of a parallelogram are equal
2. The sum of the 4 interior angles of a parallelogram equal 360
Using property 1,
- the angle opposite angle y is also y(bottom left)
- 2x + 3 = y + x
Therefore 2x -x - y = -3 or x - y = -3 [1]
Using property 2
(2x - 3) + y + (y + x) + y = 360
3x + 3y + 3 = 360
3x + 3y = 360 - 3 = 357
Divide both sides by 3 to get
x + y = 357/3
x + y = 119 [2]
Add [1] and [2] together to eliminate y and get
x - y + x + y = -3 + 119
2x = 116
x = 116/2 = 58
Use equation [2]
x + y = 119
58 + y = 119
y = 119 - 58
y = 61