Question

Find x and y, help please!!

Answer 1

`x=19^o`

`y=131^o`

Explanation:

For this problem i assume that the two lines that look parallel, are parallel

step 1

Find the value of x

we know that

`55^o+(4x)^o=(7x-2)^o` ----> by corresponding angles

solve for x

`7x-4x=55+2`

`3x=57`

`x=19^o`

step 2

Find the value of y

we know that

`y=55^o+(4x)^o` ---> by vertical angles

substitute the value of x

`y=55^o+(4*19)^o`

`y=131^o`

Alternative method

`y=55^o+(4x)^o` ---> by vertical angles

`y=(7x-2)^o` ---> by alternate exterior angles

Solve the system of equations