X=8
This is because angles AOB and COD are congruent. If they are congruent then they have the same angle measurement. Therefore we can solve for X as follows;
Substitute X for 8;
4(8)-2=30, because 4•8=32 and 32-2=30.
Therefore the final answer measurement is 30°
2(8)+14=30, because 2•8=16 and 16+14=30.
Therefore our final measurement is 30° making these two angles congruent.
We can be sure of ourselves by confirming that the last equation is indeed correct with 8 substituted for X.
5(8)+10=50, because 8•5=40 and 40+10=50
Therefore making this final measurement 50°
So if you add all these measurements together, (30+30+50), you have a final measurement of 110° which is an obtuse angle, and is indeed verified by the measure of angle AOD being obtuse, and also by the smaller three angles being acute angles. :)