Vidaara.orgClass 6 · Mathematics
CodeVID-M06-11-VAA-01
Vertical & Adjacent Angles - Assignment
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.
Vertically opposite angles are:
- A.supplementary
- B.equal
- C.complementary
- D.zero
2.
Adjacent angles share a common vertex and:
- A.area
- B.arm
- C.colour
- D.length
3.
A linear pair sums to:
- A.$90^\circ$
- B.$180^\circ$
- C.$360^\circ$
- D.$45^\circ$
4.
If one angle of a linear pair is $70^\circ$, the other is:
- A.$20^\circ$
- B.$110^\circ$
- C.$70^\circ$
- D.$90^\circ$
5.
Angles on a straight line sum to:
- A.$90^\circ$
- B.$180^\circ$
- C.$360^\circ$
- D.$270^\circ$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Vertically opposite angles are always:
7.
A linear pair sums to:
8.
If one angle of a linear pair is $70^\circ$, find the other.
9.
Find the angle vertically opposite $50^\circ$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Two lines cross; one angle is $65^\circ$. Find all four angles.
11.
One angle of a linear pair is twice the other. Find both.
12.
Two adjacent angles on a line are $x$ and $x+40$. Find $x$.
13.
Find the angle vertically opposite $130^\circ$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Two straight lines intersect and one angle is $3$ times its adjacent angle. Find all four angles.
15.
In a linear pair, one angle is $30^\circ$ more than the other. Find both angles.
Answer Key
Section A — Multiple Choice Questions
- (B) equal
- (B) arm
- (B) $180^\circ$
- (B) $110^\circ$
- (B) $180^\circ$
Section B — Short Answer (2 marks)
- Equal.
- $180^\circ$.
- $110^\circ$.
- $50^\circ$.
Section C — Short Answer (3 marks)
- $65^\circ, 115^\circ, 65^\circ, 115^\circ$.
- $60^\circ$ and $120^\circ$.
- $x=70$ (angles $70^\circ, 110^\circ$).
- $130^\circ$.
Section D — Long Answer (5 marks)
- $45^\circ, 135^\circ, 45^\circ, 135^\circ$.
- $75^\circ$ and $105^\circ$.
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