Question

8. Find the values for x and y (2 points)

Answer 1

In a tra pezoid, the sum of angles on one leg is 180 °.

Therefore:

`(5x)^o+90^o=180^o\qquad|-90^o\\\\(5x)^o=90^o\qquad|:5\\\\x=18`

`5(y+11)^o+(4y-10)^o=180^o` use distributive property

`(5)(y)+(5)(11)+4y-10=180\\\\5y+55+4y-10=180` combine like terms

`(5y+4y)+(55-10)=180\\\\9y+45=180` subtract 45 from both sides

`9y=135` divide both sides by 9

`y=15`

Answer: x = 18 and y = 15.