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Important Questions

Lines and Angles

Karnataka Board · Class 9 · Mathematics

Most important questions from Lines and Angles for Karnataka Board Class 9 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

30 questions20 flashcards4 concepts

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30 Questions·
multiple choice

Sample Questions

1multiple choice
1 marks

In triangle ABC, if ∠A = 60° and ∠B = 80°, what is ∠C?

Show answer

40°

Step 1: The sum of all angles in a triangle is always 180°. Step 2: ∠A + ∠B + ∠C = 180°. Step 3: Substitute the given values: 60° + 80° + ∠C = 180°. Step 4: 140° + ∠C = 180°. Step 5: ∠C = 180° - 140° = 40°.

2multiple choice
1 marks

If two angles are complementary and one angle is 35°, find the other angle.

Show answer

55°

Step 1: Complementary angles are two angles whose sum is 90°. Step 2: Let the unknown angle be x°. Step 3: Given angle + x° = 90°. Step 4: 35° + x° = 90°. Step 5: x° = 90° - 35° = 55°.

3multiple choice
1 marks

Lines PQ and RS intersect at O. If ∠POR : ∠ROQ = 3:2, find ∠POR.

Show answer

108°

Step 1: ∠POR and ∠ROQ form a linear pair, so they are supplementary. Step 2: ∠POR + ∠ROQ = 180°. Step 3: Given ratio ∠POR : ∠ROQ = 3:2, so let ∠POR = 3x and ∠ROQ = 2x. Step 4: 3x + 2x = 180°, so 5x = 180°. Step 5: x = 36°, therefore ∠POR = 3 × 36° = 108°.

4multiple choice
1 marks

If AB || CD and EF is a transversal, and ∠AEF = 130°, find ∠EFC (alternate interior angle).

Show answer

130°

Step 1: When parallel lines are cut by a transversal, alternate interior angles are equal. Step 2: ∠AEF and ∠EFC are alternate interior angles. Step 3: By the Alternate Interior Angles theorem, these angles are equal when lines are parallel. Step 4: Therefore, ∠EFC = ∠AEF = 130°.

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Frequently Asked Questions

What are the important topics in Lines and Angles for Karnataka Board Class 9 Mathematics?
Lines and Angles covers several key topics that are frequently asked in Karnataka Board Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Lines and Angles — Karnataka Board Class 9 Mathematics?
Understand the core concepts first, then work through the 30 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Lines and Angles?
There are 30 practice questions available for Lines and Angles. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All 12 chapters — Karnataka Board Class 9 Mathematics Important Questions

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