Question

in the given figure AOB is straight line find x and y if x-y=60degree

Answer 1

angle y=60
x+y=180 ( linear pair)
x+60=180
x=180-60
x=120
therefore angle x is equal to 120 degree

Answer 2

It is given that x - y is 60° .....1
But x + y is 180° (By linear pair axiom)........2
From 1 and 2 we get
x= 120° y = 60°