Question

Find x and y, help please!!

Answer 1

Answer:

$x=19^o$

$y=131^o$

Step-by-step 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