Question 789233
The two angles are complementary, so they must add to 90 degrees (by definition)



(Angle 1) + (Angle 2) = 90


(16z - 9) + ( 4z + 3 ) = 90


16z - 9 + 4z + 3  = 90


20z - 6  = 90


20z  = 90+6


20z  = 96


z  = 96/20


z  = 4.8


Now plug this back into the two original angle expressions

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Angle 1 = 16z - 9


Angle 1 = 16*4.8 - 9


Angle 1 = <font color="red">67.8 degrees</font>


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Angle 2 = 4z + 3


Angle 2 = 4*4.8 + 3


Angle 2 = <font color="red">22.2 degrees</font>