Question

Find the value of x and y

Answer 1

Answer
Y is 128
X is 6

Answer 2

x=6

y=128

Explanation:

in my diagram shown in red the angles are corresponding. This means they are equal. Equate them both in an equation:

`7x + 4 = 5x + 16`

subtract 5x on both sides

`7x - 5x + 4 = 16`

subtract 4 on both sides

`7x - 5x = 16 - 4`

collect like terms

`2x = 12`

divide 2 on both sides giving

`x = 6`

substitute x=6 into any of the equations 5x+16 or 7x+4 since both of them are the same. I'll use 5x+16

5(6)+16=46 degrees

since opposite angles are equal the angle is 46 degrees shown in green on my drawing

to work out y interior angles are equal to 180: equate 46 and y+6 to 180:

`46 + y + 6 = 180`

subtract 6 and 46 on both sides

`y = 180 - 46 - 6`

`y = 128`

so y is 128