Question

In the given figure, if POR and QOR form a linear pair and a-b=80", then find the values of angle a and angle b.​

Answer 1

Answer:

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

Answer 2

given -: a-b = 80

you can write is as a= 80+ b... (I)

now you know that by linear property a+b=180°.. ( ii)

now put value of a in equation ii

you will get -:

80+b+b =180°

80+2b=180°

2b=180°-80°

2b= 100°

b=100/2

b=50°

now put value of b in equation I

a=b+80°

a=50°+ 80°

a= 130°

your ans is a=130°

and b=50°