Question

In the given figure, if ∠POR and ∠QOR form pair and a–b=80∘, then find the value of a

and b.​

Answer 1

Step-by-step explanation:

∠POR and ∠QOR form a linear pair,

∴∠POR+∠QOR=180 (Linear pair axiom)

a+b=180 ...........(1)

But a−b=80 ...........(2) [Given]

Adding equations (1) and (2), we get

2a=260

∴a=

2

260

=130

Substituting the value of a in (1), we get

130+b=180

⇒b=180−130=50