Question

two lines l and m intersect at a point o. If angle x is 100degree find the other angle​

Answer 1

Answer:

In △ABC,

⇒ ∠CAB+∠ABC+∠ACB=180

o

.

⇒ 30

o

+90

o

+∠ACB=180

o

.

⇒ 120

o

+∠ACB=180

o

.

∴ ∠ACB=60

o

We know that, diagonals of rectangle are equal and bisect each other equally.

∴ AO=OC=BO=OD

In △ABO,

⇒ AO=BO

⇒ ∠OAB=∠ABO [ Angle opposite to equal side are also equal ]

⇒ ∠OAB=∠ABO=30

o

⇒ ∠OAB+∠ABO+∠BOA=180

o

⇒ 30

o

+30

o

+∠BOA=180

o

.

⇒ ∠BOA=120

o

.

⇒ ∠BOA=∠COD [ Vertically opposite angle ]

∴ ∠COD=120

o

⇒ ∠COD+∠BOC=180

o

[ Linear pair ]

⇒ 120

o

+∠BOC=180

o

∴ ∠BOC=60

o

.

⇒ ∠ACB=60

o

,∠ABO=30

o

,∠COD=120

o

and ∠BOC=60

o

.