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Vidaara.orgClass 7 · Mathematics
CodeVID-M07-08-PAR-01
Parallel Lines Angle Relationships - Assignment
Chapter: Angles in Parallel Lines & Triangles
Topic: Parallel Lines Angle Relationships
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
Corresponding angles (parallel lines + transversal) are:
  • A.supplementary
  • B.equal
  • C.complementary
  • D.zero
2.
Alternate interior angles are:
  • A.equal
  • B.supplementary
  • C.complementary
  • D.unequal
3.
Co-interior angles sum to:
  • A.$90^\circ$
  • B.$180^\circ$
  • C.$360^\circ$
  • D.$45^\circ$
4.
Vertically opposite angles are:
  • A.equal
  • B.supplementary
  • C.complementary
  • D.zero
5.
A line crossing two or more lines is a:
  • A.tangent
  • B.transversal
  • C.chord
  • D.median
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Two parallel lines are cut by a transversal; one angle is $70^\circ$. Find its corresponding angle.
7.
Alternate interior angles are:
8.
Co-interior angles are $110^\circ$ and $x$. Find $x$.
9.
Find the angle vertically opposite to $65^\circ$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
One angle is $120^\circ$. Find its co-interior angle.
11.
Two parallel lines; an alternate angle is $55^\circ$. Find the matching angle.
12.
A transversal makes $130^\circ$ with one parallel line. Find the corresponding angle.
13.
Two co-interior angles are equal. Find each.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Two parallel lines are cut by a transversal and one of the eight angles is $75^\circ$. Find the corresponding, alternate and co-interior angles.
15.
Co-interior angles are $(2x)^\circ$ and $(x+30)^\circ$. Find $x$ and both angles.

Answer Key

Section A — Multiple Choice Questions
  1. (B) equal
  2. (A) equal
  3. (B) $180^\circ$
  4. (A) equal
  5. (B) transversal
Section B — Short Answer (2 marks)
  1. $70^\circ$.
  2. Equal.
  3. $70^\circ$.
  4. $65^\circ$.
Section C — Short Answer (3 marks)
  1. $60^\circ$.
  2. $55^\circ$.
  3. $130^\circ$.
  4. $90^\circ$.
Section D — Long Answer (5 marks)
  1. Corresponding $75^\circ$; alternate $75^\circ$; co-interior $105^\circ$.
  2. $x=50$; angles $100^\circ$ and $80^\circ$.
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