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Lines and angles of Class 9

If a ray stands on a line then the sum of two adjacent angles so formed is 180°.

  • If two lines intersect each other, then the vertically opposite angles are equal.
  • Acute angle measures between 0° and 90°.
  • If a transversal intersects two parallel lines, then each pair of corresponding angles is equal
  • If a transversal intersects two lines such that a pair of corresponding angles is equal, then the lines are parallel to each other.
  • If a transversal intersects two parallel lines, then each pair of alternate interior angles is equal.
  • If a transversal intersects two lines such that a pair of alternate interior angles is equal, then the two lines are parallel.➢ Two angles whose sum is 90° are called complementary angles.
  • Interior angles on the same side of transversal are called co-interior angles.The sum of angles of a triangle is 180°.
  • If a transversal intersects two parallel lines, then each pair of interior angles on the same side of transversal is supplementary.
  • If a transversal intersects two lines such that a pair of interior angles on the same side of transversal is supplementary, then the two lines are parallel.
  • If a side of a triangle is produced, then the exterior angle so formed is equal to sum of two interior opposite angles
  • Lines which are parallel to the same line are parallel to each other.
  • Right angle is exactly equal to 90°.
  • Obtuse angle measures between 90° and 180°.
  • Straight angle is exactly equal to 180°.
  • Reflex angle measures between 180° and 360°.
  • Complete angle is exactly equal to 360°.
  • Two angles whose sum is 180° are called supplementary angles.
  • Part of a line with two end paints is called a line segment.
  • Part of a line with one end point is called a ray
  • Three or more points lying on a line are called collinear points.
  • An angle is formed when two rays are drawn in different directions from a common initial point.
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