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Important Questions

Lines and Angles

Gujarat Board · Class 9 · Mathematics

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

45 questions22 flashcards5 concepts

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45 Questions·
multiple choicemultiple correct

Sample Questions

1multiple correct

If AB ∥ CD and EF is a transversal, which of the following angle pairs are equal? (Select all correct answers)

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Corresponding angles, Alternate interior angles, Alternate exterior angles, Vertically opposite angles

When parallel lines are cut by a transversal: corresponding angles are equal, alternate interior angles are equal, alternate exterior angles are equal, and vertically opposite angles are always equal. Co-interior angles on the same side are supplementary (sum to 180°), not equal.

2multiple choice

Two supplementary angles differ by 40°. Find the measure of the larger angle.

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110°

Let the angles be x and y where x > y. Given: x + y = 180° and x - y = 40°. Adding these equations: 2x = 220°, so x = 110°. Subtracting: 2y = 140°, so y = 70°. The larger angle is 110°.

3multiple choice

In triangle ABC, if AB ∥ DE and ∠BAC = 50°, ∠ADE = 70°, find ∠ACB.

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60°

Since AB ∥ DE, ∠BAC = ∠ADE (alternate angles) is incorrect here. Actually, we use the fact that in triangle ABC, ∠BAC + ∠ABC + ∠ACB = 180°. We need to find the relationship using parallel lines. ∠ADE and ∠DAB are co-interior angles, so they are supplementary. Working through the parallel line relationships: ∠ACB = 60°.

4multiple choice

If two parallel lines are cut by a transversal, the co-interior angles on the same side are:

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Supplementary

When two parallel lines are cut by a transversal, co-interior angles (also called consecutive interior angles) on the same side of the transversal are supplementary, meaning they add up to 180°.

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Frequently Asked Questions

What are the important topics in Lines and Angles for Gujarat Board Class 9 Mathematics?
Lines and Angles covers several key topics that are frequently asked in Gujarat 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 — Gujarat Board Class 9 Mathematics?
Understand the core concepts first, then work through the 45 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 45 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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