Well since it's a parallelogram, we know that the opposite sides are the same and the same side interior angles (the ones pictured) add up to 180.
So let's first solve the sides.
5x + 2 = 8x - 7
So the goal with these equations is to move all of the variables onto one side and all of the integers onto the other. We can do this by doing:
5x + 2 = 8x - 7
+7 +7
5x + 9 = 8x
-5x -5x
9 = 3x
/3 /3
3=x
So now since we know what x is, we can do one of the equations to figure out what the sides are.
5 * 3 + 2 = 17
So both of those sides have a length of 17.
On to the angles.
2y + 50 + 3y + 40 = 180
We have a similar goal, to move all the integers onto one side and all the variables onto the other.
So, what we can do is
2y + 50 + 3y + 40 = 180
2y + 3y + 50 + 40 = 180
5y + 90 = 180
-90 -90
5y = 90
/5 /5
y = 18
And now we can plug that in to both of the equations to find out the measurements.
2 * 18 + 50 = 86 degrees
3 * 18 + 40 = 94 degrees
I hope I helped :)
