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If two lines intersect prove that the v...

If two lines intersect prove that the vertically opposite angles are equal

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To prove that vertically opposite angles are equal when two lines intersect, let's follow these steps: ### Step-by-Step Solution: 1. **Identify the Lines and Angles**: - Let the two intersecting lines be \( AB \) and \( CD \), intersecting at point \( O \). - The angles formed at the intersection are \( \angle 1 \), \( \angle 2 \), \( \angle 3 \), and \( \angle 4 \). Here, \( \angle 1 \) and \( \angle 2 \) are vertically opposite angles, as well as \( \angle 3 \) and \( \angle 4 \). ...
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