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Class 7 Transversal and Parallel Lines — 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. A line that cuts two or more lines at distinct points is called a:
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Answer: A) transversal
A transversal is a line that intersects two or more lines at distinct points.
2. A transversal cuts two parallel lines. If one angle is 115 deg, the angle forming a linear pair with it is:
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Answer: C) 65
Angles in a linear pair are supplementary: 180 - 115 = 65 deg.
3. Lines l and m are parallel, cut by transversal t. The acute angle made is 38 deg. The obtuse angle in the figure is:
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Answer: B) 142
Acute and obtuse angles form a linear pair: 180 - 38 = 142 deg.
4. In a kite-shaped park in Pune, two parallel paths are crossed by a straight walkway (a transversal). One alternate exterior angle is (5x) deg and the other alternate exterior angle is (3x + 60) deg.
Find the measure of each of these alternate exterior angles.
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Answer: B) 150
Alternate exterior angles equal: 5x = 3x + 60, 2x = 60, x = 30. Each = 5(30) = 150 deg.
5. A transversal cuts two parallel lines. Take any one of the eight angles; call it A. Among the other seven angles, some equal A and the rest are supplementary to A.
How many of the other seven angles are EQUAL to A?
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Answer: D) 3
Of the 8 angles, 4 equal A (including A itself) and 4 are supplementary. Excluding A, 3 of the other seven equal A.
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