1. Adjacent
They share a vertex, and a side.
2. Adjacent
They share a vertex, and a side, and it doesnt add up to 180 degrees like a Supplementary angle (both a and b dont equal 90 they are uneven) and both a and b dont add up to 90 together. We would see a right angle symbol if these were true.
3. Complementary
We can see a right angle symbol on the other side of the angle, which means it is Complementary because the sides are equal to each other.
4. Supplementary
It adds up to 180, because most Supplementary angles look this way, its just simply easy to recognize.
5. Vertical Angles
To help you remember vertical angles usually are across from each other, and look like an X. THey are up and down/vertical from each other.
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I really hope this helps! You'll get the hang of it! much love <3