Question

The angle y has the value? show how you solved it

Answer 1

`x=76^o`

`y=104^o`

Explanation:

we know that

`(y-28)=x` ---> equation A (by alternate interior angles)

we have that

`x+y=180` ---> by supplementary angles (form a linear pair)

`x=180-y` ----> equation B

substitute equation B in equation A

`(y-28)=180-y`

solve for y

`y+y=180+28`

`2y=208`

`y=104^o`

Find the value of x

`x=180-104`

`x=76^o`