Question

In the given figure, ∠OAB = 110° and ∠BCD = 130° then ∠ABC is equal to ?

Answer 1

Answer:

60 degree

Step-by-step explanation:

Now, OA ∥ YB and AB is the transversal.

⇒ ∠OAB + ∠YBA = 180° (interior angles are supplementary)

⇒ 110° + ∠YBA = 180°

⇒ ∠YBA = 70°

Also, CD ∥ BZ and BC is the transversal.

⇒ ∠DCB + ∠CBZ = 180° (interior angles are supplementary)

⇒ 130° + ∠CBZ = 180°

⇒ ∠CBZ = 50°

Now, ∠YBZ = 180° (straight angle)

⇒ ∠YBA + ∠ABC + ∠CBZ = 180°

⇒ 70° + x + 50° = 180°

⇒ x = 60°

⇒ ∠ABC = 60°

Answer 2

Answer:

x=60

x=180-(70+50)

x=180-120

x=60