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Class 7 Angles Around a Point — practice questions with answers

Lines and Angles · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. What is the sum of all the angles that fit together around a point?
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Answer: D) 360°
One full turn around a point is a complete angle, which measures 360°. (180° is the sum for angles on a straight line.)
2. Sneha measured the three angles around a point as 125°, 135° and 110°. Can her measurements be correct?
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Answer: C) No, they add to 370°
125 + 135 + 110 = 370°. Angles around a point must add to exactly 360°, so at least one measurement is wrong (by 10° in total).
3. Arjun had to find the third angle around a point when the other two are 70° and 65°. He wrote: 180° − 70° − 65° = 45°. What is the correct answer?
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Answer: B) 225°; he used 180° instead of 360°
Angles around a point add to 360°, not 180°. Correct: 360° − 70° − 65° = 225° (a reflex angle).
4. Three straight lines meet at O. Three angles next to each other are x, 2x and 3x, as shown. Find x.
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Answer: C) 30°
x, 2x and 3x lie side by side along one straight line, so x + 2x + 3x = 180°. Then 6x = 180° and x = 30°. (20° comes from wrongly using 9x = 180°.)
5. A train leaves at 10:00 and arrives at 11:20 by the station clock. Through what angle does the HOUR hand turn during the journey?
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Answer: C) 40°
The hour hand turns 30° in 60 minutes, so 0.5° per minute. The journey is 80 minutes: 80 × 0.5° = 40°. (480° is what the minute hand turns; 30° ignores the extra 20 minutes.)
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