1/2 of (180 minus the one you didn't tell us the size of or even what shape you're talking about)
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The two angles are 36 and 144 degrees.
Given two intersecting lines, the two angles opposite each other have the same measure and are congruent.
If there are only 4 angles, this is one solid shape and we're strictly talking about internal angles. Then the answer would have to be both the other angles are 60 degrees each. This is because, if two angles are the same size, then the other two also must be. Then you just have to make sure that the angles all add up to 360 in total - which would bring you to 60.
The other three angles will each measure 120 degrees.