Parallel and Intersecting Lines

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When two straight lines meet at a point on a plane surface, we say that the lines intersect each other. The point where they meet is called the point of intersection.

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When two straight lines intersect, they form exactly 4 angles at the point of intersection.

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Vertically opposite angles are the angles that are opposite to each other when two lines intersect. They are always equal to each other. For example, if two lines form angles a, b, c, and d, then angl

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Linear pairs are adjacent angles formed when two lines intersect. They share a common vertex and a common side, and together they form a straight line. Linear pairs always add up to 180°.

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If one angle is 65°, then: - Its vertically opposite angle = 65° - The two adjacent angles (linear pairs) = 180° - 65° = 115° each So the four angles are: 65°, 115°, 65°, and 115°.

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Perpendicular lines are two lines that intersect each other at right angles (90°). When two perpendicular lines intersect, all four angles formed are equal and measure 90° each.

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Parallel lines are two lines that lie on the same plane and never meet, no matter how far they are extended in both directions. They maintain the same distance between them throughout.

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A transversal is a line that intersects two or more other lines at different points. When a transversal intersects two lines, it forms 8 angles in total.