Question

angle A O C & angle B O C form a linear pair. if a - b = 30. Find a and b.

Answer 1

Since AOC(a) Nd BOC (b) forms a linear pair,
a + b = 180°............(1)
a - b = 30 ..............(2)


Adding (1) & (2),
2a = 210
a = 105

Now, putting a = 105 in
a + b = 180
105+ b= 180
b = 180 - 105
b = 75