In a tra pezoid, the sum of angles on one leg is 180 °.
Therefore:
[tex](5x)^o+90^o=180^o\qquad|-90^o\\\\(5x)^o=90^o\qquad|:5\\\\x=18[/tex]
[tex]5(y+11)^o+(4y-10)^o=180^o[/tex] use distributive property
[tex](5)(y)+(5)(11)+4y-10=180\\\\5y+55+4y-10=180[/tex] combine like terms
[tex](5y+4y)+(55-10)=180\\\\9y+45=180[/tex] subtract 45 from both sides
[tex]9y=135[/tex] divide both sides by 9
[tex]y=15[/tex]
Answer: x = 18 and y = 15.
