RD Sharma Class 9 Maths Lines and Angles Solutions - Free PDF Download

All the solutions in RD Sharma Class 9 Chapter 8 Lines and Angles are correct and precise. It increases the conceptual knowledge of the various topics, axioms, and theorems concerning angles, angle relations, the difference between the linear pair of angles and supplementary angles, and vertically opposite angles. The students should repeatedly practise all the problems sums in the RD Sharma book and have a clear view of the same. Continuous practice is the only solution to getting good marks in the exam. It will clear doubts and enhance the time management skill and logical thinking abilities of the students.

There are 4 important axioms from the Class 9 Chapter 8 Lines and Angles. They are as follows:

• Axiom 1 - The sum of adjacent angles will be 180° if we consider a ray starting from a line. Therefore, these angles are supplementary.

• Axiom 2 - The uncommon arms on both the sides of the common arms together form a straight line when we find that the sum of any two adjacent angles in 180°

• Axiom 3 - The corresponding angles axiom explains that all pairs of corresponding angles will be equal when transversal will intersect two parallel lines.

• Axiom 4 - If the corresponding angles are equal when a transversal intersects a pair of lines then it is a pair of parallel lines.

• Theorem A - In the case of the crossing of two parallel lines by a transversal:

• Vertically opposite angle pairs are equal.

• All pairs of other inner angles are the same

• All pairs of internal angles on the same transversal side are added.

• Theorem B - Two lines corresponding to one line are parallel to one another.

• Theorem C - Angle Sum Property describes that the sum of all the angles in a triangle is 180 °. This theorem is also referred to as the angle-sum property of a triangle.

• Theorem D - When the transverse crosses a pair of lines and the alternate angles are shaped, the lines are parallel.

• Theorem E - When a transverse intersects a pair of lines and internal angles on the same side of the transversal are supplementary, the two lines are aligned.

Just as the straight-line angles add 180 angles and the three inner angles of the triangle also add 180 angles, the outer angle of the triangle is equal to the sum of the two opposite internal angles as shown above.

• The triangle angles add up to 180 degrees.

• The quadrilateral angles add up to 360 degrees.

• The straight line angles add up to 180 degrees.

• Opposite Angles Are Equal.

• The sum of opposite interior angles is called the exterior angle of a triangle.

• Corresponding Angles are Equal.