Question 779646
The opposite angles in a parallelogram are congruent. So:
(4x-5) = (50-x)<br>
Now we solve for x. Adding x:
5x-5 = 50
Add 5:
5x = 55
Divide by 5:
x = 11<br>
From x we can find the two angles:
4(11)-5 = 44-5 = 39
The two given angles are 39 degrees.<br>
The other two opposite angles will be congruent, too. And they will be supplementary to the first two angles. If we call these other two angles y then:
29 + y = 180
Subtracting 29 from each side:
y = 151
So the other two angles are 151 degrees each.