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Formula Sheet

Lines And Angles

NIOS · Class 10 · Maths

All formulas from Lines And Angles in NIOS Class 10 Maths. Key equations, constants, and identities for board exam preparation.

37 questions27 flashcards5 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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14 Formulas · 3 Sections

Formulas

Types of Angles and Angle Pairs

Straight angle = 180°

One degree = straight angle / 180 equal parts

Complementary angles: sum = 90°

Supplementary angles: sum = 180°

Linear pair: two adjacent angles on a line add to 180°

Triangles and Their Properties

Angle Sum Property of a Triangle: ∠A + ∠B + ∠C = 180°

Exterior Angle Theorem: ∠ACD = ∠A + ∠B

If one angle of a triangle equals the sum of the other two angles, then the triangle is a right triangle.

Angle 4 times its supplement: x = 4(180 - x) ⟹ 5x = 720 ⟹ x = 144°

Locus

The locus of a point moving under certain conditions is the path or the geometrical figure, every point of which satisfies the given condition(s).

A point moving at a constant distance d from a fixed point O traces a circle of radius d centred at O.

The locus of a point equidistant from two given points is the perpendicular bisector of the line segment joining the two points.

The locus of a point equidistant from two intersecting lines is the pair of lines bisecting the angles formed by the given lines.

The locus of a point at distance 5 cm from a given line AB is two lines parallel to AB, one on each side, at 5 cm distance.

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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 Lines and Angles Concept Overview, Lines and Angles - Complete Chapter Overview, Lines and Angles Concept Map. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Lines And Angles — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 37 practice questions available for this chapter. Revise formulas and 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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All 26 chapters — NIOS Class 10 Maths Formula Sheet

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