Answer:
ABH and HBC ---- Complementary angles ( Sum of complementary anfges = 90 degrees )
ABE and FBG------Vertical angles (they are vertically opposite to each other and sum of the vertical angles =180
ABE and EBG-------Supplementary angles ( Sum of supplementary angles =180 degrees)
HBF and FBG----------Adjacent Angles(These two angles are next to each other/adjacent to each other )