∠POR and ∠QOR form a linear pair. If a-b=80, find the values of a and b.

Match the items on the right to the items on the left.

step 1

step 2

step 3

step 4

step 5

step 6

step 7

given that ∠POR and ∠QOR form a linear pair, so ∠POR+∠QOR= 180

a+b= 180 ---> 1

given that a-b= 80 -----> 2

adding 1 and 2, we get 2a= 260.

a=130.

putting a= 130 in 1, we get b=180- 130= 50.

thus a= 130 and b= 50