Parallel Lines

31 Maharashtra State Board Class 9 Mathematics practice questions with answers and worked solutions.

Difficulty: 14 easy · 10 moderate · 7 hard.
Most-asked subtopics: Properties of Parallel Lines (17), Tests of Parallelness of Two Lines (6), Use of Properties of Parallel Lines (4).
Updated 15 August 2026.

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Set · 4 questions
In figure 2.5, line RP $\parallel$ line MS and line DK is their transversal. $\angle$ DHP $= 85^\circ$ . Find the measures of the following angles.
- #1Properties of Parallel Lines
- #2Properties of Parallel Lines
- #3Properties of Parallel Lines
- #4Properties of Parallel Lines
#5Properties of Parallel Lines
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#6Properties of Parallel Lines
#7Properties of Parallel Lines
Set · 4 questions
In figure 2.9, line AB $\parallel$ line CD and line PQ is a transversal. The measure of one of the angles is given. Hence find the measures of the following angles.
- #8Properties of Parallel Lines
- #9Properties of Parallel Lines
- #10Properties of Parallel Lines
- #11Properties of Parallel Lines
#12Tests of Parallelness of Two Lines
#13Tests of Parallelness of Two Lines
#14Tests of Parallelness of Two Lines
#15Use of Properties of Parallel Lines
#16Tests of Parallelness of Two Lines
#17Tests of Parallelness of Two Lines
Set · 5 questions
Select the correct alternative and fill in the blanks in the following statements.
- #18Properties of Parallel Lines
- #19Pairs of Angles Formed by a Transversal
- #20Properties of Parallel Lines
- #21Use of Properties of Parallel Lines
- #22Properties of Parallel Lines
Set · 3 questions
Ray PQ and ray PR are perpendicular to each other. Points B and A are in the interior and exterior of $\angle$ QPR respectively. Ray PB and ray PA are perpendicular to each other. Draw a figure showing all these rays and write -
- #23Pairs of Angles Formed by a Transversal
- #24Pairs of Angles Formed by a Transversal
- #25Pairs of Angles Formed by a Transversal
#26Properties of Parallel Lines
#27Tests of Parallelness of Two Lines
#28Properties of Parallel Lines
#29Properties of Parallel Lines
#30Use of Properties of Parallel Lines
#31Use of Properties of Parallel Lines

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