Since angle y’s supplement is: 10x + 4, then y = 180 – (10x + 4), or y = 180 – 10x – 4, or y = 176 – 10x

Since angle y’s complement is: 4x, then y = 90 – 4x

Since y = 176 – 10x, and y also = 90 – 4x, then we can say that:

176 – 10x = 90 – 4x 

– 10x + 4x = 90 – 176 

- 6x = - 86

x = , or , or 



Since , then this value can be substituted in any of the y-equations to determine the value of y.

Using the 2nd y-equation (easier of the 2): y = 90 – 4x, we now have:

 ------ Substituting  for x





y = , or , or y = 32.66666 ≈  

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