Question

The lines s and t intersect at point R. What is the value of y? y =

Answer 1

$The\ angle\ (4y-8)^o\ and\ (79+y)^o\ are\ vertical\ angles\\\\therefore:\\\\(4y-8)^o=(79+y)^o\\4y-8=79+y\ \ \ \ |add\ 8\ to\ both\ sides\\4y=87+y\ \ \ \ |subtract\ "y"\ from\ both\ sides\\3y=87\ \ \ \ |divide\ both\ sides\ by\ 3\\\boxed{y=29^o}$

Answer 2

$4y-8=79+y\\ 3y=87\\ y=29$