Question

What is the answer?

Answer 1

`x=14" and "y=37`

Explanation:

`"we have a pair of parallel lines and a transversal"`

`"the angle to the left of "3x`

`"is "color(blue)"corresponding to " (9x+12)`

`3x" and "9x+12" form a "color(blue)"straight angle"`

`rArr3x+9x+12=180`

`rArr12x+12=180`

`"subtract 12 from both sides"`

`rArr12x=180-12=168`

`"divide both sides by 12"`

`rArrx=168/12=14rArr3x=42`

`"Similarly "3x" and "4y-10" form a "color(blue)"straight angle"`

`rArr3x+4y-10=180`

`rArr42+4y-10=180`

`rArr32+4y=180`

`"subtract 32 from both sides"`

`rArr4y=180-32=148`

`"divide both sides by 4"`

`rArry=148/4=37`