Question

pls solve this Question ❓⁉️​

Answer 1

• refer attachment for detailed answer.

Answer 2

ANSWER:

In the given figure, OA || CD.

Construction: Extend OA such that it intersects BC at E.

Now, OE || CD and BC is a transversal.

∴ ∠AEC = ∠BCD = 130°

(Pair of corresponding angles)

Also, ∠OAB + ∠BAE = 180°

(Linear pair)

∴ 110° + ∠BAE = 180°

⇒ ∠BAE = 180° − 110° = 70°

In ∆ABE,

∠AEC = ∠BAE + ∠ABE

(In a triangle, exterior angle is equal to the sum of two opposite interior angles)

∴ 130° = 70° + x°

⇒ x° = 130° − 70° = 60°

Thus, the measure of angle ∠ABC is 60°.

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