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Lines and Angles — Flashcards

ICSE · Class 7 · Mathematics

30 flashcards for Lines and Angles (ICSE Class 7 Mathematics) to test yourself on key terms and facts. Sample: "Solve: The angles around a point are 87°"

59 questions30 flashcards2 formulas & key relations5 concepts

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30 Flashcards·
Angles about a pointComplementary anglesSupplementary anglesStraight line anglesVertically opposite angles
Card 1Angles about a point

Solve: The angles around a point are 87°, 130°, 62°, and x°. Find x.

Answer

Step 1: The sum of angles around a point is 360°. Step 2: Write the equation: x° + 87° + 130° + 62° = 360°. Step 3: Add the known angles: 87 + 130 + 62 = 279. Step 4: Subtract: x = 360 - 279 = 81°. An…

Card 2Complementary angles

Solve: Find the complement of 47° 36'.

Answer

Step 1: Use the complement formula: 90° - angle. Step 2: Treat 90° as 89° 60' for subtraction. Step 3: Subtract: 89° 60' - 47° 36' = 42° 24'. Answer: 42° 24'.

Card 3Supplementary angles

Solve: Find the supplement of 93° 28' 43''.

Answer

Step 1: Use the supplement formula: 180° - angle. Step 2: Treat 180° as 179° 59' 60'' for subtraction. Step 3: Subtract: 179° 59' 60'' - 93° 28' 43''. Step 4: Seconds: 60'' - 43'' = 17''. Step 5: Minu…

Card 4Complementary angles

Solve: If one angle is 5 times its complement, find the angle.

Answer

Step 1: Let the angle be x°. Step 2: Its complement is (90 - x)°. Step 3: Set up the equation: x = 5(90 - x). Step 4: Expand: x = 450 - 5x. Step 5: Add 5x to both sides: 6x = 450. Step 6: Divide by 6:…

Card 5Supplementary angles

Solve: Find two supplementary angles in the ratio 13:5.

Answer

Step 1: Let the angles be 13x° and 5x°. Step 2: Supplementary angles sum to 180°. Step 3: Write the equation: 13x + 5x = 180. Step 4: Combine like terms: 18x = 180. Step 5: Divide by 18: x = 10. Step …

Card 6Straight line angles

Solve: In a straight line, one angle is (2x + 30)° and the other is (x + 30)°. Find x and both angles.

Answer

Step 1: Angles on a straight line sum to 180°. Step 2: Write the equation: (2x + 30) + (x + 30) = 180. Step 3: Simplify: 3x + 60 = 180. Step 4: Subtract 60: 3x = 120. Step 5: Divide by 3: x = 40. Step…

Card 7Vertically opposite angles

Solve: Two intersecting lines form vertically opposite angles. If one angle is 78°, find the opposite angle.

Answer

Step 1: Vertically opposite angles are always equal. Step 2: The opposite angle must match 78°. Answer: 78°.

Card 8Angles about a point

Solve: At a point, four angles are 95°, 110°, 80°, and x°. Find x.

Answer

Step 1: The sum of angles about a point is 360°. Step 2: Write the equation: 95 + 110 + 80 + x = 360. Step 3: Add known angles: 95 + 110 + 80 = 285. Step 4: Subtract: x = 360 - 285 = 75°. Answer: 75°.

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Frequently Asked Questions

What are the important topics in Lines and Angles for ICSE Class 7 Mathematics?
Key topics in Lines and Angles include Basic Geometrical Ideas, Angles and Their Parts, Types of Angles, Angles About a Point and Related Angle Pairs. Study these first, then practise questions on each for Class 7 exams.
How many flashcards are available for Lines and Angles?
There are 30 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 Class 7 exams?
Learn the core ideas first, then work through the 59 practice questions on Lines and Angles. Revise definitions regularly and use flashcards for quick recall before the exam.

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