Class 7 Adjacent and Vertically Opposite Angles — 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. Two angles that have a common vertex and a common arm but no common interior points are called ____.
AAdjacent angles
BVertically opposite angles
CComplementary angles
DReflex angles
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Answer: A) Adjacent angles
Adjacent angles share a common vertex and a common arm, and their non-common arms lie on opposite sides; they do not overlap.
2. An angle and its vertically opposite angle add up to 130°. What is the measure of each angle?
A59
B130
C65
D71
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Answer: C) 65
They are equal, so each = 2130∘ = 65°.
3. Which figure produces vertically opposite angles?
ATwo intersecting straight lines
BTwo parallel lines
CA single ray
DTwo non-intersecting segments
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Answer: A) Two intersecting straight lines
Vertically opposite angles appear only where two straight lines actually intersect.
4. Sita marks three rays OA, OB, OC from a point O so that angle AOB and angle BOC are adjacent. If angle AOB = 48° and the whole angle AOC = 113°, find angle BOC.
5. Two roads cross at a chowk in Lucknow. The angle on the east is twice the angle on the north, and these two angles are adjacent (linear pair) along one straight road. A traffic engineer needs the angle vertically opposite to the east angle. Find it.
A120
B130
C110
D240
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Answer: A) 120
Let north = x, east = 2x. Linear pair: x + 2x = 180, 3x = 180, x = 60. East angle = 120°; its vertically opposite angle = 120°.