Vidaara.orgClass 9 · Mathematics
CodeVID-M09-08-QAS-01
Angle Sum of a Quadrilateral - 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.
The angles of a quadrilateral sum to:
- A.$180^\circ$
- B.$360^\circ$
- C.$270^\circ$
- D.$540^\circ$
2.
A quadrilateral has how many diagonals?
- A.$1$
- B.$2$
- C.$3$
- D.$4$
3.
A quadrilateral has how many sides?
- A.$3$
- B.$4$
- C.$5$
- D.$6$
4.
If three angles are $80^\circ,100^\circ,90^\circ$, the fourth is:
- A.$80^\circ$
- B.$90^\circ$
- C.$100^\circ$
- D.$110^\circ$
5.
Each angle of a rectangle is:
- A.$60^\circ$
- B.$90^\circ$
- C.$120^\circ$
- D.$45^\circ$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Three angles of a quadrilateral are $70^\circ,80^\circ,100^\circ$. Find the fourth.
7.
What is the sum of the angles of a quadrilateral?
8.
Each angle of a rectangle is:
9.
How many diagonals does a quadrilateral have?
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
The angles of a quadrilateral are in ratio $1:2:3:4$. Find them.
11.
Three angles are equal and the fourth is $120^\circ$. Find each equal angle.
12.
Two angles are $60^\circ$ and $110^\circ$, and the other two are equal. Find them.
13.
Find $x$ if the angles are $x,\ x+10,\ x+20,\ x+30$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
The four angles of a quadrilateral are in ratio $3:5:9:13$. Find all the angles.
15.
In a quadrilateral, three angles are equal and each is $20^\circ$ more than the fourth. Find all four.
Answer Key
Section A — Multiple Choice Questions
- (B) $360^\circ$
- (B) $2$
- (B) $4$
- (B) $90^\circ$
- (B) $90^\circ$
Section B — Short Answer (2 marks)
- $110^\circ$.
- $360^\circ$.
- $90^\circ$.
- $2$.
Section C — Short Answer (3 marks)
- $36^\circ,72^\circ,108^\circ,144^\circ$.
- $80^\circ$.
- $95^\circ$ each.
- $x=75$; angles $75^\circ,85^\circ,95^\circ,105^\circ$.
Section D — Long Answer (5 marks)
- $36^\circ,60^\circ,108^\circ,156^\circ$.
- $75^\circ,95^\circ,95^\circ,95^\circ$.
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