Question

the vertical opposite angles formed by two in tersecting lines are______?​

Answer 1

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The vertically opposite angles formed by two intersecting lines are______?​

${\large{\underbrace{\underline{\bf{Answer:-}}}}}$

The vertically opposite angles formed by two intersecting lines are always equal.

★ Proof -

Given two lines AB and CD intersect each other at the point O.

To prove: ∠1 = ∠3 and ∠2 = ∠4

Proof:

From the figure, ∠1 + ∠2 = 180°  [Linear pair]  → (1)

∠2 + ∠3 = 180°  [Linear pair]  → (2)

From (1) and (2), we get

∠1 + ∠2 = ∠2 + ∠3

∴ ∠1 = ∠3

Similarly, we can prove ∠2 = ∠4 also.

Hope this helps uh! ♡

Answer 2

Answer:

the vertical opposite angles formed by two intersecting lines are equal.

Reason

vertically opposite angles