Question

in the given figure POQ is a straight line.if a-b is 80 find the value of a and b ​

Answer 1

Answer:

∠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

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

a-b=80 (given)

a=80+b... (i)

now,

a+b =180 ( as given that it's a straight line)

let's put the value a from (i) in this

80+b+b=180

80+2b=180

2b=180-80

2b=100

b=100/2

b=50

and a =130