Question

Prove that the opposite angles formed by two intersecting lines of equal measures: ​

Answer 1

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⇒∠AOC =180∘−180∘ +∠BOD.

⇒∠AOC=∠BOD.

we can see that the angles ∠AOC and ∠BOD are vertically opposite angles. So, we have proved that if two lines intersect each other, then the vertically opposite angles are equal.