Lines And Angles
NIOS · Class 10 · Maths
Flashcards for Lines And Angles — NIOS Class 10 Maths. Quick Q&A cards covering key concepts, definitions, and formulas.
Interactive on Super Tutor
Studying Lines And Angles? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for flashcards and more.
1,000+ Class 10 students started this chapter today
Learn better with visuals Super Tutor has hundreds of illustrations like this across every chapter — all free to try.
Get startedTwo angles in a linear pair have measures 3x + 20° and 2x + 40°. Find the value of x.
Answer
Step 1: Linear pair angles are supplementary, so their sum = 180°. Step 2: (3x + 20°) + (2x + 40°) = 180°. Step 3: 5x + 60° = 180°. Step 4: 5x = 120°. Step 5: x = 24°. Answer: x = 24°…
If two parallel lines are cut by a transversal and one angle measures 65°, find all the other angles.
Answer
Step 1: When parallel lines are cut by transversal, 4 angles = 65° (corresponding and alternate angles). Step 2: Remaining 4 angles = 180° - 65° = 115° (supplementary pairs). Answer: Four angles of 65…
In triangle ABC, angle A = 40° and angle B = 70°. Find angle C and the exterior angle at C.
Answer
Step 1: Sum of angles in triangle = 180°. Step 2: ∠C = 180° - 40° - 70° = 70°. Step 3: Exterior angle at C = 180° - ∠C = 180° - 70° = 110°. Or using exterior angle theorem: Exterior angle = ∠A + ∠B = …
Two angles are complementary. One angle is 25° more than the other. Find both angles.
Answer
Step 1: Let smaller angle = x°. Step 2: Larger angle = (x + 25)°. Step 3: For complementary angles: x + (x + 25) = 90°. Step 4: 2x + 25 = 90°. Step 5: 2x = 65°. Step 6: x = 32.5°. Answer: The angles a…
Find the value of x if vertically opposite angles are (2x + 15)° and (3x - 25)°.
Answer
Step 1: Vertically opposite angles are equal. Step 2: 2x + 15 = 3x - 25. Step 3: 15 + 25 = 3x - 2x. Step 4: 40 = x. Step 5: Verify: 2(40) + 15 = 95° and 3(40) - 25 = 95° ✓. Answer: x = 40°…
When do you use the exterior angle theorem of a triangle?
Answer
Use when: Finding an exterior angle OR finding interior angles when exterior angle is given. Theorem: Exterior angle = Sum of two non-adjacent interior angles. Example: If exterior angle = 120° and on…
In triangle PQR, the angles are in ratio 2:3:4. Find all three angles.
Answer
Step 1: Let angles be 2x, 3x, and 4x. Step 2: Sum of triangle angles = 180°. Step 3: 2x + 3x + 4x = 180°. Step 4: 9x = 180°. Step 5: x = 20°. Step 6: Angles are 2(20°) = 40°, 3(20°) = 60°, 4(20°) = 80…
Two supplementary angles differ by 40°. Find both angles.
Answer
Step 1: Let angles be x° and (x + 40)°. Step 2: Supplementary angles sum to 180°. Step 3: x + (x + 40) = 180°. Step 4: 2x + 40 = 180°. Step 5: 2x = 140°. Step 6: x = 70°. Answer: The angles are 70° an…
+12 more flashcards available
Practice AllFrequently Asked Questions
What are the important topics in Lines And Angles for NIOS Class 10 Maths?
How to score full marks in Lines And Angles — NIOS Class 10 Maths?
How many flashcards are available for Lines And Angles?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Lines And Angles
Important Questions
Practice with board exam-style questions
Syllabus
What topics to cover
Revision Notes
Key points for last-minute revision
Study Plan
Step-by-step plan to ace this chapter
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Practice Quiz
Test yourself with a quick quiz
Concept Maps
See how topics connect visually
For serious students
Get the full Lines And Angles chapter — for free.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for NIOS Class 10 Maths.