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Lines And Angles — Flashcards

NIOS · Class 10 · Maths

27 flashcards for Lines And Angles (NIOS Class 10 Maths) to test yourself on key terms and facts. Sample: "Solve: If a ray stands on a line, the two"

37 questions27 flashcards14 formulas & key relations5 concepts

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A labeled diagram illustrating the definitions and visual representations of a point, a line, a ray, and a line segment, highlighting their key differences like infinite extension and endpoints.
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One of 17 illustrations for Lines And Angles in Super Tutor — alongside flashcards, concept maps and practice questions.

27 Flashcards·
Linear pair of anglesSupplementary anglesComplementary anglesVertically opposite anglesIntersecting linesLinear pair equationCorresponding anglesParallel lines and transversal
Card 1Linear pair of angles

Solve: If a ray stands on a line, the two adjacent angles are 68° and x°. Find x.

Answer

Step 1: Use the linear pair rule. Step 2: Their sum is 180°. Step 3: 68° + x = 180°. Step 4: x = 180° - 68° = 112°. Answer: x = 112°.

Card 2Supplementary angles

Solve: Two angles are supplementary. One angle is 105°. Find the other angle.

Answer

Step 1: Supplementary angles add up to 180°. Step 2: Let the other angle be x. Step 3: 105° + x = 180°. Step 4: x = 180° - 105° = 75°. Answer: 75°.

Card 3Complementary angles

Solve: Two angles are complementary. One angle is 37°. Find the other angle.

Answer

Step 1: Complementary angles add up to 90°. Step 2: Let the other angle be x. Step 3: 37° + x = 90°. Step 4: x = 90° - 37° = 53°. Answer: 53°.

Card 4Vertically opposite angles

Why are vertically opposite angles equal when two lines intersect?

Answer

When two lines intersect, each pair of adjacent angles forms a linear pair. Linear pairs sum to 180°. So each angle in one pair equals the angle opposite to it, because both are supplementary to the s…

Card 5Intersecting lines

Solve: Two intersecting lines form one angle of 125°. Find the vertically opposite angle and one adjacent angle.

Answer

Step 1: Vertically opposite angles are equal, so the opposite angle = 125°. Step 2: Adjacent angles form a linear pair. Step 3: Adjacent angle = 180° - 125° = 55°. Answer: opposite angle = 125°, adjac…

Card 6Linear pair equation

Solve: If one angle of a linear pair is (5x + 10)° and the other is x°, find x.

Answer

Step 1: A linear pair sums to 180°. Step 2: Write the equation: x + (5x + 10) = 180. Step 3: 6x + 10 = 180. Step 4: 6x = 170. Step 5: x = 170/6 = 28 1/3°. Answer: x = 28 1/3°.

Card 7Corresponding angles

When do you use the formula for corresponding angles being equal?

Answer

Use it when a transversal cuts two parallel lines. Then the matching angles are equal: ∠1 = ∠5, ∠2 = ∠6, ∠3 = ∠7, and ∠4 = ∠8. Example: if ∠1 = 80°, then ∠5 = 80°.

Card 8Parallel lines and transversal

Solve: Two parallel lines are cut by a transversal. If one corresponding angle is 48°, find the angle corresponding to it and its adjacent supplementary angle.

Answer

Step 1: Corresponding angles on parallel lines are equal. Step 2: So the corresponding angle = 48°. Step 3: The adjacent angle on a straight line is supplementary. Step 4: Adjacent angle = 180° - 48° …

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Frequently Asked Questions

What are the important topics in Lines And Angles for NIOS Class 10 Maths?
Key topics in Lines And Angles include Basic Geometric Ideas, Angles and Their Types, Pairs of Angles, Transversal and Parallel Lines. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How many flashcards are available for Lines And Angles?
There are 27 flashcards for Lines And Angles covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Lines And Angles for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 37 practice questions on Lines And Angles. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

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

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