# Problem Set 2,

# Chapter 2 - Parallel Lines

# Mathematics Part II Solutions for Class 9 Math

**Problem Set 2**

- If a transversal intersects two parallel lines then the sum of interior angles on the…
- The number of angles formed by a transversal of two lines is ........... Select the…
- A transversal intersects two parallel lines. If the measure of one of the angles is…
- In ΔABC∠ A =760, ∠ B = 480, ∠ C = … Select the correct alternative and fill in the…
- Two parallel lines are intersected by a transversal. If measure of one of the…
- Ray PQ and ray PR are perpendicular to each other. Points B and A are in the interior…
- Prove that, if a line is perpendicular to one of the two parallel lines, then it is…
- In figure 2.24, measures of some angles are shown. Using the measures find the measures…
- Line AB ∥ CD ∥ Line EF and line QP is their transversal. If Y: z = 3:7 then find the…
- In figure 2.26, if line Q ∥ line R and p is their transversal and if a = 80° find the…
- In figure 2.27, if line AB || line CF and line BC || line ED then prove that ∠ ABC = ∠…
- In figure 2.28, line PS is a transversal of parallel line AB and line CD. If Ray QX,…

**Practice Set 2.1**

- In figure 2.5, line RP||line MS and line DK is their transversal. ∠DHP = 85° Find the…
- In figure 2.6, line p|| line q and line 1 and line m are transversals. Measures of some…
- In figure 2.7 line /|| line m and line n|| line p. Find ∠ a, ∠ b, ∠ c from the given…
- In figure 2.8, sides of ∠ PQR and ∠XYZ are parallel to each other. prove that, ∠ PQR ≅…
- In figure 2.9, line AB || line CD and line PQ is transversal. Measure of one of the…

**Practice Set 2.2**

- In figure 2.18, y = 108°. and x = 71° Are the lines m and n parallel? Justify?…
- In figure 2.19, if ∠ a≅ ∠ b then prove that line L ∥ line M.
- In figure 2.20, if ∠ a≅ ∠ b and ∠ x≅ ∠ y then prove that line L ∥ line N.…
- In figure 2.21, if ray BA || ray DE, ∠ c = 50° and ∠ D = 100°. Find the measure of ∠…
- In figure 2.22, ray AE || ray BD, ray AF is the bisector of ∠ EAB and ray BC is the…
- A transversal EF of line AB and line CD intersects the lines at point P and Q…