(1)  What kind of angles are these?

    30 + 60 degrees = 90 degrees; so these are complementary
 
In (2-3) use the properties of supplementary and complementary angles to find the measure of the missing angle?

(2)

    Here, we find that these angles are supplementary, adding up to 180 degrees.  So 83 + ? = 180; thus we find that ? = 97

(3)

    And here, we find complementary angles; adding up to 90 degrees; thus 36 + ? = 90; ? = 54