Answer:
2 angles are 142 degrees
2 angles are 38 degrees
Explanation:
In any parallelogram, the opposite angles are congruent.
So,
5x - 8 = 2x + 82
3x - 8 = 82
3x = 90
x = 30
Now lets plug in x into one of the angles:
5 ( 30 ) - 8
150-8
142
So, because that angle is 142, the other angle must also be 142. However, to make sure, we should still check.
2 ( 30 ) + 82
60 +82
142
As we can see, both angles are 142.
Now we have figured out 2 angles, and they are both 142. Now lets figure out the other 2 angles.
Any 4 sided shape has 360 degrees
142 + 142 = 284 degrees
Our 2 angles have 284 degrees in total.
if we subtract 284 from 360, we get 76.
Our remaining 2 angles have a total of 76 degrees. Because these angles are also opposite, we must divide by 2. 76/2 is 38.
So,
2 angles are 142 degrees
2 angles are 38 degrees