Question

Find the values of x and y. Y= 3x+29

Answer 1

x= 37 , y= 143

Explanation:

okay so to start out we must write an equation in order to find the angles of a parallelogram.

2x+2y=360 (the angles of a parallelogram always equal 360 degrees)

next, since we know that the angle for y is "y+3" we can substitute this into the equation

2x+2(y+3)=360

next, since it is given that y=3x+29 we can now substitute that into the equation

2x+2[(3x+29)+3]=360

now, SOLVE!

`2x+2[(3x+29)+3]=360 \\2x+2(3x+32)=360 \\2x+6x+64=360\\8x+64=360\\8x=296\\x=37`

okay, now we know that x=37 degrees so now we must find y. this can be done by substituting 37 into (3x+29)+3 or simply, 3x+32

`y=3x+32\\y=3(37)+32\\y=111+32\\y=143`

don't forget to check your work!

2(37)+2(143)=360

there you go! so x= 37 degrees and y= 143 degrees